100 200 300 400 500 600 700 solving equations & inequalities slope slope- intercept form systems...
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100 100 100 100 100 100200 200 200 200 200 200300 300 300 300 300 300400 400 400 400 400 400500 500 500 500 500 500600 600 600 600 600 600700 700 700 700 700 700
Solv
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Eq
uatio
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&
Ineq
ualiti
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Slo
pe
Slo
pe-
Inte
rcep
t Form
Syste
ms
of
Eq
uatio
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Usin
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Inte
rcep
ts
Writin
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Eq
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Solving Equations and Inequalities 100
Solve the following equation for x.
3 5 7x
Answer: 4x
Solving Equations and Inequalities 100
Slope 100
Find the slope of the line that passes through the given points:
(-5, 4) and (6, 8)
Answer:
Slope 100
4
11m
Slope-Intercept Form 100
In the slope intercept form of the equation y = mx + b, what do the m and b each represent?
Slope-Intercept Form 100
Answer: m represents the slope of the line, and b represents the y-intercept of the line.
Systems of Equations 100
What is the solution to the given system of equations?
y = 3x +3
y = -x – 5
Systems of Equations 100
Answer: (-2, -3)
Using Intercepts 100
Find the x–intercept for the equation y = -2/3x + 4.
Using Intercepts 100
Answer: (6, 0)
Writing Equations 100
Write the equation of the line in slope-intercept form with the given slope and y-intercept.
Slope = -5/3 y-intercept = -5
Writing Equations 100
Answer: y = -5/3x – 5
Solving Equations and Inequalities 200
Solve the following inequality.
2 5 8x
Solving Equations and Inequalities 200
Answer: 3
2x
Slope 200
Find the slope of the line below.
Slope 200
Answer: 3
2m
Slope-Intercept Form 200
Identify the slope of the line with the given equation.
2 4 12x y
Slope-Intercept Form 200
Answer: 1
2m
Systems of Equations 200
Identify the solution to the system.
Systems of Equations 200
Answer: ( 4,4)
Using Intercepts 200
Find the y-intercept of the given equation.
3 5 45x y
Using Intercepts 200
Answer: (0, 9)
Writing Equations 200
Write the equation of the line that passes through the given points.
(0, 4), and (3, 5)
Writing Equations 200
Answer: 1
43
y x
Solving Linear Equations and Inequalities 300
Natasha bought a new TV for $1,020. she made a down payment of $120, and she is going to make a monthly payment of $75. How many payments will she have to make to pay for the stereo system?
Answer: 12 payments
Solving Linear Equations and Inequalities 300
Slope 300
Find the slope of the line that passes through the given points.
(-1, 6), and (8, -1)
Answer:
Slope 300
7
9m
Slope-Intercept Form 300
Find the slope of a line that is parallel to the given line.
3 4 16x y
Slope-Intercept Form 300
Answer: 3
4m
Systems of Equations 300
If two lines are parallel, how many solutions are there?
a. 1 solution
b. No solution
c. Infinitely many solutions
Answer: No solution
Systems of Equations 300
Using Intercepts 300
Find the x – intercept of the equation
6 7 42x y
Answer:
Using Intercepts 300
( 7,0)
Writing Equations 300
Find the slope of a line that is perpendicular to the given line.
6144
5y x
Answer:
Writing Equations 300
5
6m
Solving Equations and Inequalities 400
The charge to rent a car for a day is $34. There is an additional charge of $0.08 per mile. What is the greatest number of miles that a rented car can be driven in a day if the total bill is to be no more than $60?
Answer: 325 miles
Solving Equations and Inequalities 400
Slope 400
What kind of line has a slope that is undefined?
Answer: a vertical line
Slope 400
Slope-Intercept Form 400
Identify the slope and y-intercept of the line with the given equation.
3 4 24y x
Answer: ;
Slope-Intercept Form 400
4
3m (0,8)b
Systems of Equations 400
Solve the system of equations.
4 5 10
3 3 21
x y
x y
Answer:
Systems of Equations 400
(5, 2)
Using Intercepts 400
The cost for carpet is $43.85 per square foot plus $115 for installation. If this problem was modeled by a linear equation, what would be the y-intercept?
Answer:
Using Intercepts 400
115b
Writing Equations 400
Write the equation of the line that is parallel to the given line and passes through the point (0, -5).
3 7y x
Answer:
Writing Equations 400
3 5y x
Solving Equations and Inequalities 500
Solve the following equation for x.
5 2( 4) 7 8x x x
Answer:
Solving Equations and Inequalities 500
4x
Slope 500
Which line has the greater slope?
Line A: (10, -18), (20, 2)
Line B: (-5, -4), (15, 16)
Answer: Line A
Slope 500
Slope-Intercept Form 500
Write the following equation in slope-intercept form?
6 5 10x y
Answer:
Slope-Intercept Form 500
62
5y x
Systems of Equations 500
Solve the system of equations.
2 3y x 5 11y x
Answer:
Systems of Equations 500
( 2, 1)
Using Intercepts 500
Identify the intercepts for the equation
Answer: x-intercept = y-intercept =
Using Intercepts 500
(5,0)(0, 5)
Writing Equations 500
Write an equation of the line that is perpendicular to the line y = -3x + 4 and passes through the point (0, 7).
Write your answer in slope intercept form.
Answer:
Writing Equations 500
17
3y x
Solving Equations and Inequalities 600
To receive an A in a course, Ruth must obtain an average of 90 or higher on five exams. If Ruth’s first four exam grades are 88, 92, 87, and 89, what is the minimum grade Ruth can receive on the fifth exam to get an A in the course?
A. 89 B. 91
C. 94 D. 95
Answer: 94
Solving Equations and Inequalities 600
Slope 600
Find the slope of the line that passes through the points (-3,5) and (8,5).
Answer:
Slope 600
0m
Slope-Intercept Form 600
Write the equation in slope-intercept form and find the y-intercept.
11 6 18x y
Answer:
y-intercept =
Slope-Intercept Form 600
113
6y x
(0,3)
Systems of Equations 600
Bartlett High School is selling basketball tickets. They are selling $5 tickets to children, c, and $8 tickets to adults, a. Mr. Foreman bought a total of 10 tickets for $68. Which system of equations can be used to find how many $5 tickets and $8 tickets Mr. Foreman purchased?
A. B.
C. D.
5 68 10
68
c a
c a
5 8 68
10
c
c a
68
10
c a
c a
10
5 8 68
c a
c a
Answer:
Systems of Equations 600
10
5 8 68
c a
c a
Using Intercepts 600
What is the equation of a line with an x-intercept of 2 and a y-intercept of - 4?
A. B.
C. D.
12
2y x 4 2y x
3 4y x 2 4y x
Answer:
Using Intercepts 600
2 4y x
Writing Equations 600
Write an equation of the line that passes through the given points.
(0, -6), (8, -16)
Answer:
Writing Equations 600
56
4y x
Solving Equations and Inequalities 700
For their victory party at school, the softball team bought five 6-packs of sodas for $2.88 each, five bags of chips for $3.19 each, and a cake. The party cost $45.93. How much did the team spend on the cake?
Answer: $15.58
Solving Equations and Inequalities 700
Slope 700
A donut shop sells glazed donuts at the following prices:
DonutsDonuts 33 99 1212 1818 2424
CostCost $1.$1.2525
$2.$2.7575
$3.$3.5050
$5.$5.0000
$6.$6.5050
Determine the rate of change from the information given in the table above.
Answer: rate = $0.25 per donut
Slope 700
Slope-Intercept Form 700
Find the slope of a line that is perpendicular to the line with the given equation.
4 3 18x y
Answer:
Slope-Intercept Form 700
3
4m
Systems of Equations 700
A business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for $20 per day. On a certain day, the owner of the business has 25 rentals and takes in $450. Write and solve a system of linear equations to find the number of skates rented.
Answer:
10 pairs of skates; 15 bicycles
Systems of Equations 700
25
15 20 450
s b
s b
Using Intercepts 700
Find the intercepts of the given equation.
2 6x y
Answer: x-intercept = y-intercept =
Using Intercepts 700
(3,0)
(0,6)
Writing Equations 700
Write an equation of the line that passes through the given points.
(-2, -11), (0, -11)
Writing Equations 700
Answer: 11y