Free Printable 2021 Finals Review

1.

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for it phone service. Which equation can be used to find c, the total cost for one month when m, minutes are used?

a)

c = 0.12m + 8m

b)

c = 8m + 0.12m

c)

c = 0.12m + 8

d)

c = 0.20m

2.

A man is climbing down from 100 feet high descending 30 feet per minute.

a)

y = 100 - 30x

b)

y = 100 + 30x

c)

y = 100x + 30

d)

y = 100x - 30

3.

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

4.

Solve for x.

a)

x = 21

b)

x = 7

c)

x = −21

d)

x = 4

5.

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x

a)

Add 4x to both sides of the equation

b)

Combine like terms 3x and 4x on the same side of the equation

c)

Add 3x and 6 to get 9x

d)

Add 6 and 10 to get 16

6.

What is the first step to solve this equation?
3n - 4 = -2 + 2n

a)

Add 2n to both sides of the equation

b)

Add 3n to both sides of the equation

c)

Subtract 2n from both sides of the equation

d)

Subtract 4 from both sides of the equation

7.

What is the first step to solve the equation?

3-2\left(x-5\right)=8

a)

distribute

b)

combine like terms

c)

move all variables to the left

d)

add or subtract

e)

multiply or divide

8.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

9.

Solve the equation, if possible.
$\frac{6}{5}\left(5-4g\right)=-18$

a)

7

b)

no solution

c)

5

d)

-5

10.

Solve for m $y=mx+b$

a)

$m=x+b-y$

b)

$m=y-b-x$

c)

$m=\frac{x-b}{y}$

d)

$m=\frac{y-b}{x}$

11.

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

a)

15h ≤ 105

b)

15h > 105

c)

15h < 105

d)

15h ≥ 105

12.

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. She wants to have more than $150 in her account. Which inequality represents this situation?

a)

$25+0.50x\ge150$

b)

$25x+0.50>150$

c)

$25x+0.50\ge150$

d)

$25+0.50x>150$

13.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

14.

Does the inequality sign flip?
-12y < -24

a)

Yes

b)

No

15.

Does the inequality sign flip?
2x < 20

a)

Yes

b)

No

16.

9y+8=9y-8

a)

No Solution

b)

One Solution

c)

Infinite Solution

17.

3(x-8)=3x-24

a)

No Solution

b)

One Solution

c)

Infinite Solutions

18.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

19.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

20.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

21.

$Solve:\ \ 7x-2\left(x-4\right)\le-2$

a)

$x\le-10$

b)

$x\le-2$

c)

$x\ge-2$

d)

$x\le2$

22.

A ________________ is a set of two or more equations that have the same variables.

a)

solution of a system

b)

elimination method

c)

system of equations

d)

table

23.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

24.

What is the solution to the equations?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

25.

How can you tell if a point is a solution to a system?

a)

It makes the first equation true.

b)

The (x,y) coordinates satisfy both equations

c)

It makes logical sense

d)

It makes neither equation negative

26.

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

a)

Yes

b)

No

27.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

28.

Based on the table, what is the solution?

a)

(-2,2)

b)

(-3,3)

c)

(4,5)

d)

(6,6)

29.

Based on the table, what is the solution?

a)

(3,0)

b)

(1,0)

c)

(0,1)

d)

(2,2)

30.

What would be the first step in finding the solution using elimination?

2x + 2y = -2

3x - 2y = 12

a)

you cannot solve this using elimination

b)

cross out the 2x and 3x

c)

Add the like terms. The y terms will zero out.

d)

change to slope intercept form and graph

31.

The first step in solving using the substitution method is __________.

a)

get x by itself

b)

get y by itself

c)

get either variable by itself

d)

add the equations together

32.

Alex and Billy are running laps. According to the graph, how long will it take for the two boys to run the same distance?

a)

20 minutes

b)

15 minutes

c)

10 minutes

d)

5 minutes

33.

$7x+5y=-12$
$10x+5y=5$
What does the second equation need to be multiplied by to get the y's to eliminate?

a)

5

b)

0

c)

-1

d)

2

34.

$-8x+y=20$
$4x-3y=5$
What does the second equation need multiplied by so that the x's will eliminate?

a)

2

b)

-1

c)

4

d)

0

35.

What is the equation for the next step in solving the system by elimination?
$5x-4y=-16$
$5x+4y=-14$

a)

$10x=-30$

b)

$5x=-30$

c)

$10x=-2$

d)

$x=-30$

36.

Write the inequality

a)

y>-5x-3

b)

y≥-5x-3

c)

y<-5x-3

d)

y≤-5x-3

37.

Write the inequalities

a)

x≤-2
y≤x-3

b)

y≤-2
y≤x-3

c)

x≥-2
y≤x-3

d)

y≥-2
y≤x-3

38.

Which point is a solution?

a)

(0, 6)

b)

(-3, 5)

c)

(1, 0)

d)

(-4, 3)

39.

This graph matches which inequality?

a)

y > 3

b)

y ≥ 3

c)

x≥3

d)

x>3

40.

Write an inequality represented by the graph.

a)

x < - 3

b)

y < - 3

c)

x > - 3

d)

x ≥ - 3

41.

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

a)

x+y≤300
7.5x+5.5y≥2000

b)

x+y<300
7.5x+5.5y≥2000

c)

x+y≤300
7.5x+5.5y≤2000

d)

x+y>2000
7.5x+5.5y≤300

42.

You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your math tutoring job pays $7.50 per hour and your job as a pet sitter pays $6 per hour. You can work at most 7 hours tutoring. Write a system of linear inequalities to model the situation.

a)

s + t < 20
6s + 7.50t ≥ 92
t >7

b)

s + t ≤ 20
6s + 7.50t ≥ 92
t ≤ 7

43.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

44.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

45.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

46.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

47.

What is the y-intercept?

a)

(0,7)

b)

(0,0)

c)

(1,9)

d)

(2,11)

48.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

49.

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

a)

The daily fee for the moving truck

b)

The per-mile fee for the moving truck

c)

How much Charlie paid for the truck

d)

The number of miles he drove

50.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

51.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

52.

Identify the line less steep than:

y = 3x + 8

a)

y = 5x + 8

b)

y = 3x + 5

c)

y = -3x + 6

d)

y = 2x + 7

53.

which graph has a greater rate of change

a)

red

b)

blue

c)

they have the same rate of change

54.

Which function has the GREATEST rate of change?

a)

b)

c)

d)

55.

Which function has the GREATEST initial value?

a)

b)

c)

d)

56.

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?

a)

y = 425x + 600

b)

y = 425 + 600x

c)

y = 400x + 625

d)

y = 400 + 625x

57.

How far into the race had the animals traveled before they were at the same location at the same time? Round your answer to the nearest foot.

a)

4 feet

b)

100 feet

c)

7 feet

d)

89 feet

58.

The graph shows the race between the tortoise and the hare. How much of a head start did the hare give the tortoise?

a)

2 minutes

b)

4 minutes

c)

7 minutes

d)

10 minutes

59.

What is the tortoise's constant speed (average rate of change)?

a)

60 feet/ 3 minutes

b)

40 feet/minute

c)

60 feet/minute

d)

40 feet/ 3 minutes

60.

Rate of change is also known as ...

a)

initial value

b)

slope

c)

algebra

d)

y-intercept

2021 Finals Review

Total questions: 60

Worksheet time: 3hrs 4mins

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