Free Printable Best Final Exam Review Ever

1.

Which answer choice substituted correctly?

x = 3y - 17

2x + 3y = -7

a)

$2x+3y-17=-7$

b)

$2x+3y=3y-17$

c)

$2x+3(3y-17)=-7$

d)

$2(3y-17)+3y=-7$

2.

-18 - (-43)

a)

-18 + 43

b)

-18 + -43

c)

18 + -43

d)

18 + 43

3.

Simplify.
$3x^{-4}y^4$

a)

$\frac{3y^4}{x^4}$

b)

$\frac{3y}{x}$

c)

$\frac{3y^4}{4x}$

d)

$\frac{4y}{x}$

4.

To find a discount of 30% off of a price of P, which expression should you use to find the final price?

a)

1.30P

b)

0.30P

c)

0.70P

d)

1.70P

5.

$\left(x^2\right)^5$ Simplify

a)

$x^7$

b)

$x^3$

c)

10

d)

$x^{10}$

6.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

7.

$Subtract:\ \ \left(-2x\ -\ 7\right)\ -\ \left(-5x\ -\ 3\right)$

a)

3x - 4

b)

-3x - 4

c)

3x + 4

d)

-3x + 4

8.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

9.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

10.

What is -9 cubed?

(-9)³

a)

-729

b)

729

c)

27

d)

-27

11.

-2y + 8 = 4y - 10

a)

y = 3

b)

y = -3

c)

y = 6

d)

y = -6

12.

The graph represents gasoline consumption when driving a certain distance in km. What is the meaning of the slope?

a)

The tank started with 50 L of gasoline

b)

the amount of gasoline consumed per km driven

c)

the distance it takes to lose a Liter of gas

d)

the gasoline is leaking because the slope is negative.

13.

Nora made 8 ⅔ quarts of tomato sauce. She divided them equally into 2/3-quart containers. How many quarts was she able to fill up?

a)

26

b)

13

c)

17 1/3

d)

17

14.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

15.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

x

16.

Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet. Approximately how many square feet of wall will the circle cover?

a)

200.96 ft²

b)

50.24 ft²

c)

25.12 ft²

d)

20.96 ft²

17.

Which of the following are equivalent to $-\ \frac{7}{8}$ ?

a)

$\frac{7}{8}$

b)

$\frac{7}{-8}$

c)

$\frac{-7}{-8}$

d)

$\frac{-7}{8}$

18.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

19.

What property is this?
38 + (-38) = 0

a)

Additive Identity

b)

Additive Inverse

c)

Property of Zero

d)

Commutative

20.

State the angle relationship and find the measure of angle 2

a)

Alternate Exterior
127

b)

Alternate Exterior
52

c)

Alternate Interior
127

d)

Alternate Interior
52

21.

7x⁰

a)

7x

b)

7

c)

1

d)

0

22.

Round 1.823 to the nearest whole number.

a)

1

b)

1.8

c)

2

d)

2.8

23.

Jerry borrowed $4,000 for 5 years at 6% simple interest rate. How much interest is that?

a)

$800

b)

$1,000

c)

$1,200

d)

$1,500

24.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

25.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

26.

Is this graph a linear or nonlinear function?

a)

nonlinear

b)

linear

27.

Simplify:
b²⋅ b⁴

a)

b⁸

b)

b⁶

c)

b²

d)

2b⁶

28.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y-9)

29.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

30.

-3y + 2 > 11

a)

y < -3

b)

y > -3

c)

y < 3

d)

y > 3

31.

Write the equation of the line with slope 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

32.

Rational or Irrational?

a)

Rational

b)

Irrational

33.

Which of the following is Rational?

a)

√52

b)

√18

c)

√64

d)

√15

34.

46 less than a number

a)

46 - n

b)

n - 46

c)

46 + n

d)

n + 46

35.

Translate the sentence into an equation:
Four more than six times a number is 18.

a)

4 + 6x = 18

b)

4x + 6 = 18

c)

6x + 4 = 18

d)

not enough info

36.

Simplify. (subtract the exponents and simplify the fraction)

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

37.

Name the property.
7 + (11 + 10) = (7 + 11) + 10

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Identity Property

38.

Which of the following is an example of Commutative Property of Addition ?

a)

4 + 2 = 7 + 4

b)

(9 + 8) + 5 = 9 + (8 + 5)

c)

3 + 9 = 9 + 3

d)

6 • 1 = 6

39.

Are these two expressions equivalent?
5(3+2) and 5•3 + 5•2

a)

Yes, because of the associative property

b)

Yes, because of the commutative property

c)

Yes, because of the distributive property

d)

No, these two expressions are not equivalent

40.

If Peter pays $84 to buy a watch after a discount of 20%, find the original price of the watch.

a)

$100.80

b)

$105.00

c)

$118.45

d)

$99.50

41.

Griffin’s General Store is having a 30% off sale on fans. Robert paid $25 for a fan. What is the original price of the fan?

a)

$32.50

b)

$35.71

c)

$17.50

d)

$7.50

42.

Does the graph represent a function?

a)

The graph is a function because it passes the vertical line test.

b)

The graph is a function because it passes the horizontal line test.

c)

The graph is not a function because it fails the vertical line test.

d)

The graph is not a function because it fails the horizontal line test.

43.

5√80

a)

20√5

b)

-4√5

c)

5√20

d)

4√5

44.

Simplify:
6√2 ⋅5√14

a)

32√7

b)

60√7

c)

2√7

d)

30√7

45.

Find the slope of the line through each pair of points.

a)

A

b)

B

c)

C

d)

D

46.

What is the equation of the line that goes through the points (2, 9) and (3, 1) ?

a)

y= 8x - 5

b)

y= -8x + 25

c)

y= (1/8)x - 2

d)

y= (-1/8)x + 1

47.

Write the equation in point slope form given two points
(-1,-7) and ( 2,5) [Use the point(2,5)]

a)

y-2=4(x-5)

b)

y-2= 2(x-5)

c)

y-5=4(x-2)

d)

y+5=4(x+2)

48.

-7x - 36 = 20 -3x

a)

-12

b)

-14

c)

15

d)

8

49.

Juan bought a soda for $2. He also bought some nachos for $3 each. Juan did not spend more than $14 on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought.

a)

14≥2n+3

b)

2+3n≤14

c)

14-3n≤2

50.

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

a)

10x + 1.50 ≥ 40

b)

1.50x + 10 ≤ 40

c)

1.50x + 10 <40

d)

10x + 1.50 < 40

51.

Find the volume of the figure. Round to the nearest tenth.

a)

128.6 units³

b)

1,286.1 units³

c)

401.9 units³

d)

5,144.6 units³

52.

A circle has a diameter of 12 ft. What is its area?

a)

12π ft²

b)

6π ft²

c)

72π ft²

d)

36π ft²

53.

The graph shows the locations of an eagle's nest, a tree, and a pond. On the coordinate grid, each unit represents a mile.

Which distance best represents the shortest distance from the pond to the tree? Round to the nearest tenth of a mile.

a)

13.7 miles

b)

15.2 miles

c)

16.2 miles

d)

21.0 miles

54.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

55.

(x, y) -> (2x, 2y)

What is the coefficient 2 mean?

a)

plot 2 to the right and 2 up

b)

scale factor is 2 creating a new figure half the size

c)

scale factor is 2 making a figure twice the

original

d)

I don't understand this question : (

56.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

a)

x + y = 21
6x + 4y = 104

b)

x + y = 104
6x + 4y = 21

c)

x + y = 21
6y + 4x = 104

d)

x + y = 104
6x + 4y = 21

57.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

a)

C = 0.20x + 15

b)

C =15 (0.20x)

c)

C = 15 + x + 0.20

d)

C = 0.20 + 15x

58.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

59.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

60.

Solve the following system by graphing. What is the solution?

a)

(-4, 2)

b)

(4, 2)

c)

(2, -4)

d)

(2, 4)

Best Final Exam Review Ever

Total questions: 60

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