Are You Smarter Than the CRCT?

What is the value of 2x + 2y when x = 7.1 and y=8.4?

31

Carla is collecting rainwater in a rain barrel. Currently she has 18 inches of water in the barrel. If rain is falling at a rate of 1.5 inches per hour, which expression can be used to model the number of inches of rain in the barrel after h hours?

a. 1.5h +18b. 18 - 1.5hc. 1.5 + 18hd. (1.5 + 18)h

Mr. Lyle has $9,000 in the bank. If he deposits $100 per week, which expression represents his balance in dollars after w weeks?

a. 9,000w + 100b. w(9,000 + 100)c. 100(w + 9,000)d. 9,000 + 100w

A triangle has side lengths (x + 1) inches, (3x-2) inches, and 4x inches. What is the perimeter of the triangle?

a. (8x -1) inchesb. (3x + 3) inchesc. (x + 4) inchesd. (9x) inches

Simplify:12r + 5s + 8t - (3r + s – 6t)

a. 9r + 4s – 14tb. 9r + 4s + 2tc. 9r + 4s + 14td. 9r + 6s – 2t

Is the graph below a direct variation?

yesno

Look at the input/output table below. What is the rule for this table?

Input Output

6 10

3 22

-5 54

a) y= x +4b) y= 3x + 13c) y= -4x + 34d) y= -8x + 41

Shauna deposited the same amount into her bank each week. The table shows her balance, b, over four weeks, w. Which equation matches the information given?

Week 1 Week 2 Week 3 Week 4

$13.50 $27.00 $40.50 $54.00

a) b= 13.5wb) b = w + 13.5c) w = 13.5 bd) b = 54 – w

Chris does freelance work as a graphic artist. He charges a set-up fee of $17.00, plus $10.00 per hour. Which equation describes the cost c for a job that takes Chris h hours?

a. c = (17 + 10)hb. c = 10h + 17c. c = 17h +10d. c = 27h + 10

What value of z makes the equation true?6z – 12 = 21 – 5z

a) z = 33b) z = 3c) z = 9d) z = 99

Sue wants to solve the following equation: x – 5 =12

6 What step should she take first?

a) Multiply both sides by 6b) Subtract 12 from both sidesc) Subtract 5 from both sidesd) Add 5 to both sides

(8u + 3) – (4u - 2) =

a) 12u +5b) 12u +1c) 4u + 5d) 4u + 1

Which statement describes the relationship shown in the table?

X Y

0 0

1 6

2 12

3 18

4 24

a) For each ordered pair, the output is six more than the inputb) For each ordered pair, the output is one-sixth of the inputc) For each ordered pair, the output is six times the inputd) For each ordered pair, the output equals the input

Which statement describes the table below?

X 0 1 2 3 4

Y 4 10 16 22 28

a) As x increases by 1, y increases by 4b) As x increases by 1, y increases by 6c) As x increases by 1, y decreases by 4d) As x increases by 1, y decreases by 6

Simplify: 8(12 – 2n)

a) 96 - 16nb) 96 – 10nc) 96 – 2nd) 20 – 2n

Which statement describes the linear equation graphed below?

a) As x increases by 2, y decreases by 1b) As x increases by 1, y decreases by 2c) As x increases by 2, y increases by 1d) As x increases by 1, y increases by 2

Mrs. Polk gave Ms. Holloway half of the math books. Mrs. Polk has 40 math books left. How many books were there?

a. 40b. 80 c. 20d. 60

A shirt costs $4.23 and the tax is 7%. What is the cost of the shirt with taxes?

a. $4.53b. $4.52c. $ .2961d. $ .30

What is the first step to solve the following equation?

X = -3-8

a. Add 8b. Subtract 8c. Multiply by - 8d. Divide by - 8

Isaac had $30. He bought five mini skateboards at $3.99 each. How much money does he have left over? (assume the tax is already included in the price.)

a. $10.05b. $8.65c. $ .05d. $19.95

Three consecutive integers are added. The largest number is x. How do you write the smallest number?

a. 3 + xb. x + x + xc. x - 3d. x - 2

Write an expression for the quotient of the quantity x minus z and 20.

a. ÷ x – z + 20b. (x ÷ z) + 20c. x – z ÷ 20d. (x – z) ÷ 20

Write an expression for the product of the quantity x minus z and 20.

a. x – z + 20b. 20 · x – zc. 20(x – z)d. (x · z) + 20

You are playing a game where you get 5 points for each shot you make and you lose 8 points for each shot that you miss. You made 6 shots and missed 5. Which number sentence below will help you calculate your score?

a. +5 – 8b. (6+5) + (5-8)c. 6(5) + 5(-8)d. 6(5) – 5(8)

You buy shirts for $10 each and jeans for $22 each. Write the expression for x number of shirts and y number of jeans.

a. x10y22b. 10y + 22xc. 10 + 22 + x+ yd. 10x + 22y

Where would all of the points with (0) as the x-coordinate be located?

a) On the x-axisb) On the y-axisc) In quadrant Id) In quadrant III

Which statement shows that the sides of the quadrilaterals are proportional?

a) AB : EF = AD : EHb) AB : HE = AD : HEc) AB : HE = AD : HGd) AB : FE = AD : FG

6 cm

5 cm9 cm

7.5 cm

6 cm

5 cm9 cm

7.5 cm

What is the ratio of corresponding sides?a) 9/5b) 5/4c) 2/1d) 3/2

Triangle GFE is similar to which triangle?a) ΔSRT b) ΔRSTc) ΔTSRd) ΔTRS

The scale factor of the two triangles is 2.If RT = 2.5 cm, what is EG?

a) 1.25 cmb) 0.5 cmc) 5.0 cmd) 12.5 cm

Triangles ABC and XYZ are similar, isosceles triangles.

Which of the following is true?a) AB = AC

XZ ZY b) AB = AC YZ YX c) AB = XY AC XZ d) AB = XY AC YZ

Would A or A’ be the pre-image?

What is the vertical cross section of the following shapes?

a) Cylinderb) Square Pyramidc) Coned) Rectangular Prisme) Triangular Prismf) Cube

a) Rectangleb) Trianglec) Triangled) Rectanglee) Triangle or

rectanglef) Square

What is the horizontal cross section of the following shapes?

a) Cylinderb) Square Pyramidc) Cone d) Rectangular Prisme) Triangular Pyramid f) Cube

a) Circleb) Squarec) Circled) Rectanglee) Trianglef) Square

What three dimensional shapes do you get when you rotate the following shapes about the line?

Cone

Sphere

Cylinder

Complete the proportion using the triangles below:

AB = CB

EMRM

Which value is NOT equal to the absolute value of -50?

a) |-50|b) |50|c) 50d) -50

The table below shows the extreme temperatures for Barrow, Alaska.

Extreme Temperature in (˚F)

Lowest -56˚

Highest 79˚

What is the difference between these two temperatures on a thermometer?

a)-135˚Fb)-23˚Fc)23˚F

d)135˚F

Which number is the GREATEST?a) 2.5b) 225%c) 2¾d) 2⅞

Which number is the LEAST?a) 0.1b) 6%c) 0.05d) 0.051

Which is listed in order from least to greatest?

a) -1, -¼, 25%, 0.4b) -1, -¼, 0.4, 25%c) -¼, 25%, 0.4, -1d) -¼, -1, 25%, 0.4

|15-25|

a. 10b. -10c. 40d. -40

Which is greater than 4⅞?a) 4.83b) 4.56c) 4.65d) 4.89

Which is less than 3⅝?a) 3.7b) 3.8c) 3.6d) 3.67

Mrs. Rhoads bought 16.4 gallons of gas for $3.25 a gallon. What was her total? (assume tax is included in the price)

a. $19.65b. $5.05c. $13.15d. $53.30

How many 1/3 are there in 3 2/3?

a. 3b. 5c. 11d. 4

The lunchroom sells 4 Gatorades for every 3 waters every day. How many waters were sold if 32 Gatorades were sold?

a. 12b. 96c. 128d. 24

31, 32, 34, 35, 35, 45, 33

What is the median of the data?

a) 33b) 34c) 35d) 36

31, 32, 33, 34, 35, 35, 45

What is the mode of the data?

a) 33b) 34c) 35d) 36

31, 32, 33, 34, 35, 35, 45What is the range?

a) 12b) 14c) 15d) 31

31, 32, 33, 34, 35, 35, 45What is the mean?

a) 12b) 14c) 35d) 31

What should the following equation look like after the first step? 6 + 2x = 5x

a. 2x = 5x – 6b. 6 = 3xc. -6d. 6 = 5x

What type of graph is used to show change over time?

a. Stem and leaf plotb. Line plotc. Box and whisker plotd. Line graphe. Circle graphf. Bar graph

1) Draw an arc intersecting ray C and label the point of intersection as D

2) Open the compass to the length of AB3) Draw a ray with endpoint C4) Keep the compass open to the same

width and point your point on C 

Marisa is constructing a congruent segment. What should her next step be?

 ____________ ________________A B C

Steps:1) Draw a ray. Label the endpoint S.2) Put the compass tip at Y and draw an arc that intersects both YX and YZ.3) ___________________________________________________________4) Adjust the compass width so that tip and the pencil are at the points where the arc intersects YX and YZ.5) Keeping the compass width, put the tip at T and draw an arc that intersects that first arc. 6) Label the point R and connect S to R in a ray.

   

a) Given YX, draw any line SR intersecting YX.b) Keep the compass open to the same width. Put the tip at S. Draw and arc intersecting the ray at point T.c) Open the compass to more than half the length of YX. Put the tip on Y and draw an arc intersecting YX.d) With the point on X, draw an arc in between the rays.  

What is the missing step in constructing a congruent angle?

________

________

X

Y

Z

________S

1) Draw a segment connecting the two intersections above and below the line2) Use the same opening on the compass, put the point on B and draw another arc intersecting AB3) Put the point on A and open the compass more than half way4) With the point on A, draw an arc intersecting AB.  

Put the steps in order for constructing a perpendicular bisector:

____________A B

3,4,2,1

trapezoid

cylinder

rectangle

cylinder

ellipse

cylinder

triangular prism

Are You Smarter Than the CRCT?