warm-up booklet - first period...

7th Grade STAAR Warm Up Booklet 2014_2015.docx

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Warm-Up Booklet

7th Grade

___________________________

Student Name

___________________________


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State of Texas Assessments of Academic Readiness (STAAR®) Griddable Questions for Mathematics

The STAAR mathematics assessments use a type of open-ended question known as a griddable item.

The purpose of griddable items is to provide students opportunities to derive answers independently

without being influenced by answer choices provided with the questions. STAAR mathematics

assessments include 3 to 5 griddable questions.

Griddable Questions for STAAR Grades 6–8 Mathematics Assessments There are four griddable questions on each assessment.

The correct answer can be a positive or a negative number. If the answer is a negative number,

students must enter a negative sign. If no sign is marked, the answer will default to a positive

number. The answer grids include a fixed decimal point.

Students must enter their answer in the correct columns with respect to the fixed decimal point.

Students must enter their answer in the boxes and then fill in the corresponding bubbles.

Students do not have to use all the boxes.

Extra zeros may be filled in (either before or after the answer) as long as their placement does

not affect the value of the answer.

Record each number and fill in the bubbles on the answer grids below. Be sure to use the correct place value.

-7 24.05 3,691

590 70.1 -0.8

-1.01 0.05 3.28


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Algebraic Organizer

Example

The total number of washcloths, y, contained in x packages can be represented by the equation

8y x . Which of the following graphs best represents this situation? (STAAR, Spring 2013)

x Process y

1 8(1) 8

2 8(2) 16

3 8(3) 24

4 8(4) 32

5 8(5) 40

Verbal The total number of

washcloths, y, contained in x

packages can be

represented by the equation

.

Equation

Table

The ordered

pairs generated

in the table are

(1, 8)

(2, 16)

(3, 24)

(4, 32)

(5, 40).

Check each

graph to see

which one

contains the

ordered pairs

(1, 8)

(2, 16)

(3, 24)

(4, 32) (5, 40).


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change in values

change in values

y y

x x

3

Base Base


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Reporting Category 2

Operations of Rational Numbers

1. Joseph wants to buy some large meat lover’s pizzas for himself and 11 of his closest friends.

If Joseph and his friends each plan on eating 1

4 of a pizza, how many pizzas should Joseph

order?

A. 48

B. 3

C. 4

D. 12

Strategy

Draw a Picture

Step 1

Draw a circle to

represent 1 pizza.

Divide the circle into 4

equal-sized pieces.

Step 2

Keep drawing circles

and dividing the

circles into 4 equal-

sized pieces until you

have a total of 12

pieces of pizza.

Step 3

How many circles did you draw?


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1A. Joanne is making cupcakes for a bake sale. The recipe for 2 dozen cupcakes calls for 2

3 cup

of sugar. Joanne wants to make 8 dozen cupcakes. How much sugar will she use?

A. 2

43

cups

B. 1

53

cups

C. 2

83

cups

D. 2

23

cups

1B. Roger is building a frame for a flower bed. He is using left-over scraps of wood from his

garage. He needs a total of 12 feet of wood. The pieces he has in his garage are 1

34

feet,

14

2 feet, and 4 feet. Does he have enough wood to build the frame?

A. Yes, because 3

12 114

.

B. Yes, because 3

12 124 .

C. No, because 3

11 124 .

D. No, because 1

11 126 .


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Solving Equations

2. Solve the equation shown below.

0.2 5.4 10.6x

Which of the following represents the solution to the equation?

A. 3.2x

B. 1.04x

C. 80x

D. 26x

Strategy

Make it Simpler

Step 1

Since the values in

the equation all

contain tenths,

multiply both sides of

the equation by 10.

This will give you an

equation with all

whole number values.

Step 2

Solve the new equation.


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Solving Equations

2A. Solve the equation shown below.

0.75 7.15 8.15x


A. 204x

B. 20.4x

C. 1.3x

D. 11.475x

2B. Solve the equation shown below.

1.4 6.8 11.35x


A. 3.25x

B. 6.37x

C. 12.96x

D. 25.41x


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Solving Inequalities

3. Which of the following represents the solution to the inequality shown below?

6 8 32x

A. 4x

B. 4x

C. 2

63

x

D. 2

63

x

Strategy

Work Backwards

Step 1

Look at the coefficient

of the variable. (-6)

If the coefficient is

positive keep the

inequality sign the

same. If the

coefficient is negative,

flip the inequality

sign.

Step 2

Solve as an

EQUATION. 6 8 32

6 8 8 32 8

6 24

6 24

6 6

4

x

x

x

x

x

Step 3

Use 4 in the inequality

answer choice.


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Solving Inequalities

3A. Which of the following represents the solution to the inequality shown below?

2 7 13x

A. 6x

B. 10x

C. 6x

D. 10x

3B. Which of the following represents the solution to the inequality shown below?

13 8

2x

A. 10x

B. 22x

C. 10x

D. 22x


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Rate of Change

4. The table below shows the total amount of money earned by Kelsey based on the number of

hours she has worked.

Number of

Hours

x

Total

Amount

y

3 27

7 63

10 90

12 108

What is the rate of change for this situation?

A. 1

9

B. 9

1

C. 36

1

D. 1

9

Strategy

Work Backwards

Step 1

Multiply the x-value in

the first line of the

table times each of

the answer choices to

determine which one

will result in 27.

A. 1

39

B. 9

31

C. 36

31

D. 1

39


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Rate of Change

4A. Look at the table below.

x y

1 4

3 12

5 20

7 28

Which of the following is the rate of change?

A. 1

4 C.

8

1

B. 4

1 D.

2

1

4B. Look at the graph below.

Use the table below to list the three points shown on the graph.

x y

What is the rate of change?

A. 2

1 C.

1

2

B. 2

1 D.

1

2


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Linear Relationships

5. Bonnie’s Bakery charges $5 for packaging plus $3 apiece for cupcakes. Which of the

following graphs represents this relationship?

A.

C.

B.

D.

Strategy

Work Backwards

Step 1

1 cupcake would cost

$8. Plot (1, 8) on

each graph. Mark out

choices where (1, 8)

does not lie on the

line.

Step 2

2 cupcakes would cost

$11. Plot (2, 11) on

the remaining graphs.

Mark out any choice

where (2, 11) does

not lie on the line.


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Linear Relationships

5A. Ron works part-time delivering pizza. Ron gets paid $25 for mileage plus $4 for each pizza

delivered. Which graph represents this relationship?

A.

C.

B.

D.

5B. Ashleigh has a $30 gift card from Starbucks™. Each morning she spends $2 on a coffee.

Which graph represents the relationship between the balance on her gift card and the number

of coffees she purchases?

A.

C.

B.

D.


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Volume

6. Find the volume of the figure below.

A. 72 m3

B. 36 m3

C. 84 m3

D. 120 m3

6 m

5 m

4 m

3 m

Strategy

Make It Simpler

Step 1

Label all edges of the

figure.

Step 2

Find the formula on

the STAAR Reference

Materials.

Step 3

Shade one of the

bases and find its

area.

Step 4

The height is the

distance between the

two bases. Multiply

the height by the area of the base.


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Volume

6A. Find the volume of the figure below.

A. 506 cm3

B. 920 cm3

C. 30,360 cm3

D. 10,120 cm3

6B. Find the volume of the figure below.

A. 480 cm3

B. 160 cm3

C. 24 cm3

D. 448 cm3

33 cm

20 cm

46 cm

20 cm

4 cm

6 cm


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Similar Figures

7. In the figure below, Δ JLM is similar to Δ JKN. If JN = 10 inches, what is the length of JM?

A. 4 inches

B. 16 inches

C. 10 inches

D. 14 inches

J

N K 6 in.

M L

15 in.

Strategy

Eliminate/Ruler

Step 1

Label JN as 10 inches

ON the drawing. JM

HAS to be bigger than

10 inches. Mark out

answer choices A and

C.

Step 2

Use a ruler to

measure JK. That

measure represents

15 inches. Measure

JM. Is JM more or

less than 15 inches?

Step 3

JM is less than 15.

Mark out answer

choice B.


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Similar Figures

7A. In the figure below, Δ JLM is similar to Δ JKN. If JL = 78 meters, what is the length of JK?

A. 117 meters

B. 52 meters

C. 156 meters

D. 39 meters

7B. In the figure below, ABE CBD . What is the length of CD?

A. 2

63

inches

B. 19 inches

C. 15 inches

D. 48.6 inches

J

M L

K N

54 m

27 m

18 in. 27 in.

10 in.

E

C

D

B

A


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Composite Area

8. What is the approximate area of the figure shown below?

A. 235 ft2

B. 156 ft2

C. 195 ft2

D. 231 ft2

12 ft

10 ft

16 ft Strategy

Eliminate/Estimate

Step 1

Draw lines to separate

into multiple shapes.

Step 2

Find the formulas on

the STAAR Reference

Materials.

Step 3

Find the area of one

of the shapes

(trapezoid). Mark out

any answer that is

equal to or less than

the area of the

trapezoid.

Step 4

Find the area of the

semi-circle using 3 for

pi. Find the area of

the whole circle, then

divide by 2. Mark out

any answer that is

equal to or less than

the area of the semi-

circle.

Step 5

Add the two areas

together. Look for

the answer choice

closest to your answer.


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Composite Area

8A. What is the area of the figure shown below?

A. 30 cm2

B. 21 cm2

C. 51 cm2

D. 108 cm2

8B. What is the approximate area of the figure shown below?

A. 24 cm2

B. 38 cm2

C. 52 cm2

D. 31 cm2

3 cm

14 cm

9 cm

7 cm

3 cm

12 cm


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Circumference

9. Sandra needs a new bicycle tire. Her tire has a circumference of about 47.12 inches. What

is the radius of her tire?

A. 11.78 inches

B. 7.5 inches

C. 23.56 inches

D. 15 inches

Strategy

Estimate

Step 1

Look at the Reference

Materials and find the

circumference formula

that uses radius. ( 2C r )

Step 2

Round the

circumference in the

problem to 48. Use 3

for pi.

Step 3

Solve the equation. 48 2 3

48 6

48 6

6 6

8

r

r

r

r

Step 4

Which answer is closest to 8 inches?


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Circumference

9A. A can of tuna has a diameter of 8 cm. What is the approximate circumference of the top of

the can?

A. 12.57 cm

B. 201.06 cm

C. 25.13 cm

D. 50.27 cm

9B. A ferris wheel has a diameter of 20 feet. About how far does the wheel travel in one

rotation?

A. 31 feet

B. 63 feet

C. 314 feet

D. 1,257 feet


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Area of a Circle

10. Marcy measured a coin and found that it had a diameter of about 2.1 cm. Which of the

following is closest to the area of the coin?

A. 6.60 cm2

B. 3.46 cm2

C. 13.85 cm2

D. none of these

Strategy

Estimate

Step 1

Look at the Reference

Materials and find the

area formula for a

circle. ( 2A r )

Step 2

Round the diameter in

the problem to 2 and

use 3 for pi.

Step 3

Use these values in

the formula and

simplify. 3 1 1

3

A

A

Step 4

Which answer choice

is closest to 3?


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Area of a Circle

10A. What is the approximate area of the circle shown at right?

A. 2632.98 cm2

B. 90.95 cm2

C. 181.90 cm2

D. 658.24 cm2

10B. A can of green beans has a diameter of 3 inches. What is the approximate area of the top on

the can?

A. 5 square inches

B. 7 square inches

C. 9 square inches

D. 28 square inches

r = 28.95 cm


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Percents

11. A family of three went to dinner at Pizza Palace.

Two of the family members each ordered a small pizza.

Each small pizza costs $8.99.

The third family member ordered a calzone that costs $7.98.

If they leave a 20% tip, which of the following is the best estimate of the amount of tip they

should leave?

A. $2.50

B. $5.00

C. $3.50

D. $10.00

Strategy

Estimate/Benchmarks

Step 1

Round all the prices in

the problem to the

nearest whole number.

Step 2

Add the rounded cost of

the 2 pizzas and 1

calzone. ($26)

Step 3

Tip is 20%. Find 10% of

26. (2.6). Double that

amount. (5.2)

Step 4

Which answer choice is closest to $5.20?


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Percents

11A. Mrs. Garza purchased clothes for her son.

She bought three pairs of jeans that cost $24.88 each.

She bought two shirts that cost $11.79 each.

She bought one pair of shoes that cost $38.98.

If she paid 5% sales tax on her purchase, which of the following represents the amount she

paid in sales tax?

A. $3.78

B. $22.70

C. $6.86

D. $5.62

11B. Kristin goes to Sonic™ and buys the following drinks.

Four extra-large limeades for $2.85 each

Three medium slushes for $1.75 each

Five corndogs for $0.99 each

Kristin had a coupon for 25% off her entire order, before tax. How much money did Kristin

save, before tax, by using the coupon?

A. $5.40

B. $16.77

C. $1.40

D. $2.16


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Rate of Change

12. Look at the graph below.


A. 3

4

B. 4

3

C. 4

3

D. 3

4

Strategy

Build a Table

Step 1

Select two points from

the graph and put them

into a table.

x y

-8 -6

8 6

Step 2

Find y

x

.

12 3

16 4

y

x


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Rate of Change

12A. Look at the graph below.


A. 3

2

B. 3

2

C. 2

3

D. 2

3

12B. Look at the graph below.


A. 1

4

B. 1

4

C. 4

1

D. 4

1


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Proportional Relationships

13. Which of the following tables represents a relationship that is not proportional?

A. x y C. x y

-2 4 -3 -5

1 -2 -1 -1

5 -10 2 5

11 -22 5 11

B. x y D. x y

-4 -2 -1 -3

-2 -1 3 9

6 3 7 21

10 5 12 36

Strategy

Work Backwards

Step 1

This is a NOT question.

3 of the answer choices

will be true and 1 will be

false.

Step 2

Look at the first two

lines of each table. Is

there a number you can

multiply by x to get y?

Step 3

Answer choice A: 2 2 4

2 1 2

True

Step 4

Continue with the other

three tables.

Step 5

The correct answer will

be the false answer choice.


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Proportional Relationships

13A. Which of the following tables represents a relationship that is not proportional?

A. x y C. x y

-5 -15 -6 -9

-3 -9 -2 -3

-1 -3 4 6

2 6 8 12

B. x y D. x y

-4 -13 -2 5

-2 -9 2 -5

1 -3 4 -10

3 1 8 -20

13B. Which of the following tables represents a relationship that is proportional?

A. x y C. x y

-5 -8 -2 -18

-2 -5 2 6

-1 -4 4 18

3 0 6 30

B. x y D. x y

-1 5 -6 -3

0 6 -2 -1

3 9 4 2

5 11 8 4


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Solving Equations

14. Solve the equation shown below.

1 1 5

4 2 4x


A. 1

3x

B. 6x

C. 3x

D. 7x

Strategy

Make it Simpler/

Work Backwards

Step 1

Multiply each term in

the equation by a

common denominator.

Step 2

Substitute the answer

choices into the new

equation and simplify.

Step 3

The correct answer

will be the answer

choice that is true in the new equation.


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Solving Equations

14A. Solve the equation shown below.

2 3 11

3 2 2x


A. 1

2x

B. 6x

C. 4x

D. 4.5x

14B. Solve the equation shown below.

3 2 5

4 3 6x


A. 13

9x

B. 6x

C. 7

3x

D. 2x


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Probability

15. Each spinner shown below is divided into equally-sized sections.

Arturo spins each spinner. What is the probability of Arturo spinning (Red, Odd)?

A. 1

6

B. 2

7

C. 7

12

D. 1

12

Strategy

Build a Table

Step 1

Create a sample space

of the experiment by

building a table.

1 2 3

Y Y1 Y2 Y3

G G1 G2 G3

B B1 B2 B3

R R1 R2 R3

Step 2

Circle all the outcomes

that contain Red and an

odd number.

Step 3

There are 12 outcomes.

How many of the

outcomes contain Red

and an odd number?


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Probability

15A. Each spinner shown below is divided into equally-sized sections.

Both spinners are spun at the same time. What is the probability of spinning (Red, Even)?

A. 1

2

B. 1

4

C. 1

D. 3

4

15B. Two bags each contain black and white marbles, as shown below.

If Karl draws one marble from each bag, what is the probability that they will both be black?

A. 3

7

B. 1

6

C. 11

12

D. 3


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Simple and Compound Interest

16. Angelo has $5,000 to invest. His bank offers two options.

Option A pays simple interest of 5% for 4 years.

Option B pays compound interest of 3% for 2 years.

Which of the following statements is NOT true about the two options?

A. Option A pays $695.50 more interest than Option B.

B. Option B pays $304.50 in interest over the 2 years.

C. Option A pays $250 in interest over the 4 years.

D. Option B results in a total of $5304.50 for Angelo.

Strategy

Reference Materials

Step 1

Find the formulas on

the STAAR Reference

Materials.

Step 2

Convert % values to

decimals.

Step 3

Substitute the values

from the problem into

the formulas.

Step 4

Find the answer that is NOT true.


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Simple and Compound Interest

16A. An investor deposits $8,500 into an account paying compound interest of 4.5%. A second

investor deposits $8,500 into an account paying simple interest of 4%. The table below

shows the amount of interest each account will have earned by the end of each year for the

first seven years.

End of Year… Simple Compound

1 382.50 340.00

2 765.00 693.60

3 1147.50 1061.34

4 1530.00 1443.80

5 1912.50 1841.55

6 2295.00 2255.21

7 2677.50 2685.42

Based on the information in the table, which of the following statements is true?

A. Compound interest always yields more money than simple interest.

B. Even though the compound interest rate is less, the interest paid is more.

C. At the end of 14 years, the account paying simple interest will have more money than

the account paying compound interest.

D. None of these statements are true.

16B. Which of the following equations could be used to find the balance on a deposit of $800,

earning 3% interest compounded annually for 2 years?

A. (800)(0.03)(2)A

B. 2800(1 3)A

C. 2800(1 0.03)A

D. (800)(3)(2)A


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Probability

17. Look at the spinner below.

What is the chance of spinning and landing on an even number?

A. impossible

B. certain

C. most likely

D. even chance

Strategy

Eliminate

Step 1

Are there even

numbers on the

spinner? If yes, then

mark out ‘impossible’.

Step 2

Are all the numbers

on the spinner even

numbers? If no, then

mark out ‘certain’.

Step 3

Are there more even

numbers than odd

numbers? If no, then

mark out ‘most likely’.


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Probability

17A. Look at the spinner below.

Based on the spinner, what is the chance of spinning an odd number?

A. likely

B. impossible

C. certain

D. not likely

17B. The spinner below is used in a popular game show.

Based on the spinner, what is the chance of spinning and landing on an amount greater than

$100?

A. likely

B. impossible

C. certain

D. not likely


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18. Felicia owns a candy store. On Monday, she used 1

44

pounds of chocolate, on Tuesday she

used 1

34

pounds of chocolate, and on Wednesday she used 7

58

pounds of chocolate. If

chocolate costs $8.75 a pound, how much did she spend on the chocolate she used Monday,

Tuesday, and Wednesday?

A. $22.13

B. $108.28

C. $125.78

D. $117.03

Strategy

Estimate

Step 1

Round all the mixed

numbers in the problem

to the nearest whole

number. Round the

money to the nearest

dollar.

Step 2

Add the rounded weights

of the chocolate.

Step 3

Multiply the sum of the

weights by the rounded

dollar amount.

Step 4

Which answer choice is closest?


46



18A. Using the grocery ad at the right, what is the cost of 3 pounds

of pork chops, 4 pounds of Italian sausage links, and 1 pound of

ground chicken?

A. $31.26

B. $12.41

C. $99.28

D. $36.26

18B. Using the grocery ad at the right, how much change should you

receive from a $50 bill if you purchase 5 pounds of fully cooked

sliced seasoned pork loin?

A. $34.90

B. $15.10

C. $84.90

D. $25.15


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