Free Printable 2nd 9 Weeks Review

Worksheets

2nd 9 Weeks Review

Total questions: 44

Worksheet time: 1hrs 28mins

Name

Class

Date

Which function represents this relationship?

f(x) = 2x + 1

f(x) = -(1/3)x-6

f(x) = 3x - 2

f(x)=-3x+2

How do you write a problem in Standard Form?

(a)

How do you write a problem in Slope Intercept Form?

(a)

How do you write a problem in Point-Slope Form?

(a)

Write the equation of the line that passes through the points (0,3) and (2,7) in slope-intercept form.

(a)

What is the solution to the set of equations?
y = -x - 2
y = -5x + 2

A. (3, 1)

B. (1, -3)

C. (-1, -3)

D. (-3, 1)

Which of these graphs represents the inequality?
y ≥ -1/5x - 1

Graph A

Graph B

Graph C

Graph D

Which of these graphs represents the equation
y = -5x + 2

Graph A

Graph B

Graph C

Graph D

Find the slope of the line.

m=-5/4

m=5/4

m=-4/5

m=4/5

10.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

y=3/2x+3

y=2/3-3

y=2/3x-3

y=2/3x+3

11.

Find the slope:
(-1,-9) and (5, -6)

-15/4

1/2

-3/6

11/3

12.

Find the x-intercept
3x + 8y = 24

(8, 0)

(0, 8)

(3, 0)

(0, 3)

13.

Write the equation in point-slope form of the line that passes through the given point and has the given slope. (4, -7); m = -1/4

y + 7 = -1/4(x - 4)

y - 4 = -1/4(x + 7)

y + 7 = 4(x - 4)

y - 7 = -1/4(x - 4)

14.

What is the solution to the system of equations graphed below?

No Solution

Infinite Solutions

One Solution: (3, 1)

One Solution: (1, 3)

15.

Parallel Lines never intersect because...

they have the same slopes.

they have the same y-intercept.

they have different slopes.

they have different y-intercepts.

16.

Solve using elimination.
4x + 8y = 20
-4x + 2y = -30

(-7,1)

(2,-5)

(-2,5)

(7,-1)

17.

Solve:

y = 7x + 9

2y + 2x = -14

(5, 0)

(9, 18)

(-2, -5)

(1, 16)

18.

What is the equation of the line that passes through the point (6, –1) and has a slope

of -1/3?

y= -1/3x + 3

y= -1/3x + 1

y= -1/3x - 1

y= -1/3x - 3

19.

What is the slope parallel to the line 9x – 6y = -5? What is the perpendicular slope?

Parallel Slope: _

(a)

20.

Find the rate of change.

-2 minutes per gallon

-20 minutes per gallon

-2 gallons per minute

-20 gallons per minute

21.

Which of the following equations match the given graph?

y ≤ 2x - 4

y ≥ 2x - 4

y < 2x - 4

y > 2x - 4

22.

Mona is deciding between a subscription to Hulu or HBO. Hulu has a membership fee of $50 and costs $7.99 per month. HBO costs $15 per month. Write an inequality that represents how long HBO is cheaper than Hulu.

15 < 50 + 7.99x

15 > 50x + 7.99

15x < 50 + 7.99x

15x > 50x + 7.99

23.

Select the correct graph for each inequality.

24.

Write the equation y = 2x +1 in standard form.

-2x + y = 1

2x + y = -1

2x - y = -1

2x + y = -1

25.

Which point below is NOT a part of the solution set?

(0, 0)

(0, 1)

(-100, -3)

(5, 10)

26.

Which of the following inequalities matches the given graph?

x ≥ -1

x ≤ -1

x > -1

x < -1

27.

Write the inequality in slope-intercept form: 5x - y ≤ 16

y ≤ 5x + 16

y ≤ 5x - 16

y ≥ 5x + 16

y ≥ 5x - 16

28.

Which point is a solution to the inequality?
4x - 3y ≥ 18

(0, -6)

(0, 0)

(2, 2)

(-4, 6)

29.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

(-3,-8)

(-8,-3)

(3,-8)

(8,3)

30.

Solve the system

y = 3x

2x + y = 20

(4, 8)

(3, 9)

(2, 6)

(4, 12)

31.

Solve the system

y = 2x + 1

3x + y = 16

x = 3

(2, 7)

(3, 5)

(3, 7)

32.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

y = 9.65 + x
y = 8.40 + x

y = 9.65x + 43
y = 8.40x + 58

y =9.65x
y = 8.40x

y = 9.65x - 43
y = 8.40x - 58

33.

What is the solution?

(1, -1)

(-1, 1)

(0, -2)

(2, 0)

34.

What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2 (3, -4)

y = 3x - 2

y = -1/3x - 5

y = 3x - 4

y = -1/3x - 3

35.

Write an equation in slope-intercept form of the line that passes through the two points given.
(6, 5) (4, -3)

y= 4x- 29

y= 4x - 19

y= 4x + 19

y=-4x -19

36.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

y = 1.5x + 12

y = 12x + 1.5

y = 0.67x - 8

y = -8x + 0.67

37.

Which situation best represents causation?

When the number of bus stops increases, the number of car sales decreases.

When fewer firefighters report to a house fire, the damage caused by the fire decreases.

When ice cream sales increase, incidents of sunburn increase.

When it rains several inches, the water level of a lake increases.

38.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

x + y = 15
4x + 2y = 44

4x + 2y = 15
x + y = 44

x = 2y + 44
4x = y + 15

2x - 4y = 44
x - y = 15

39.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

4x + 6y = 3

13.5x - 13y = 6

x + y = 4

x - y = 6

4x + 6y = 13

3x + 7y = 13.5

4x - 6y = 13

3x - 7y = 13.5

40.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

S + A = 530
3S + 4A = 1740

S + A = 530
4S + 3A = 1740

S + A = 1740
3S + 4A = 530

S + A = 1740
4S + 3A = 530

41.

When you graph an inequality, you used a solid line when you use which symbols?

≤, ≥

<, >

42.

When graphing an inequality, you use a dotted line when you use which symbol?

<, >

≤, ≥

43.

Which point is a solution?

(0, 6)

(-3, 4)

(1, 0)

(-4, 3)

44.

Which system of inequalities matches the graph?

y > 2x - 4
y < 2

y < 2x - 4
y < 2

y > 2x - 4
y < 2

y < 2x - 4
y < -2

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2nd 9 Weeks Review

Total questions: 44

Worksheet time: 1hrs 28mins

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