100 200 300 400 500 600 700 Solving Equations & Inequalities Slope Slope- Intercept Form Systems of Equations Using Intercepts Writing Equations.

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

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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