Free Printable Final Exam Review Math 97 Fall 2023

1.

Simplify the expression $\left|-4\right|+\frac{\sqrt{115-3\cdot5}}{2}+3$

2.

Simplify the expression $\left(2a-b\right)-2\left(a-2b\right)$

a)

-4a +3b

b)

3b

c)

-3b

d)

-4a-3b

3.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

4.

Solving the formula P = 2L + 2W for W is not equivalent to which equation?

a)

(P-2L)/2 = W

b)

(P/2) - (2L/2) = W

c)

(1/2)P - L = W

d)

$P-\frac{L}{2}=W$

5.

Evaluate f(x)=-2x+13 for f(10)

a)

-7

b)

1

c)

-8

d)

7

6.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

7.

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

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

8.

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

Choose from the below words

-15/4

1/2

-3/6

11/3

9.

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

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

10.

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

a)

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

b)

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

c)

y + 7 = 4(x - 4)

d)

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

11.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

12.

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

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

13.

Solve:

y = 7x + 9

2y + 2x = -14

a)

(5, 0)

b)

(9, 18)

c)

(-2, -5)

d)

(1, 16)

14.

95% of what number is 19?

a)

20

b)

95

c)

63

d)

19

15.

45 is what percent of 90?

a)

50%

b)

20%

c)

60%

d)

55%

16.

The solutions of the quadratic equation
x²+2x-15=0 are

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

17.

Solve:
x² - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

18.

a)

5x⁵(x + 4)(x - 4)

b)

(x + 4)(x - 4)

c)

5x⁵ (x² - 16)

d)

(5x⁵ +16)²

19.

a)

(m + 3)³

b)

(m - 3)³

c)

(m + 3)(m² - 3m + 9)

d)

(m + 3)(m² + 3m +9)

20.

What is the term classification of the following polynomial?
x³-7x²+3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

21.

Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)

a)

3x³-2x²+3x+2

b)

3x³+x²+2

c)

3x³-5x²-2

d)

3x³-x²+1

22.

Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)

a)

2x²+x+1

b)

2x²-5x+3

c)

2x²-x+1

d)

4x²-5x+3

23.

Classify the polynomial and give the degree:
5x³y²

a)

Monomial, 3

b)

Uninomial, 3

c)

Uninomial, 5

d)

Monomial, 5

24.

(x+3)(x+1)

a)

x²+3x+3

b)

2x+4x+3

c)

x²+4x+3

d)

5x + 3

25.

5x(2x + 3)

a)

10x²+ 15x

b)

7x + 15x

c)

7x² + 8x

d)

25x²

26.

Multiply
(4x+3)(2x-1)

a)

8x²-2x-3

b)

8x-3

c)

8x²+6x-3

d)

8x²+2x-3

27.

(x-3)(x²+2x+7)

a)

x³-x²+x-21

b)

x³+5x+13x-21

c)

x³-3x²+7x-21

d)

x²+2x-3

28.

Find the product.
(x + 7)²

a)

x²+ 7x + 7x + 49

b)

x²+ 7x + 7

c)

7x²+ x + 7

d)

x² + 14x + 49

29.

Factor:
x² - 49

a)

(x + 7)(x - 7)

b)

(x + 7)²

c)

(x - 7)²

d)

(x+7)(x-1)

30.

Simplify.

a)

x - 3xy + 2

b)

x + 3xy + 2

c)

x - 3xy - 2

d)

-x - 3xy - 2

31.

Use long division algorithm.

a)

4x - 2

b)

4x + 2

c)

2x - 4

d)

2x + 4

32.

What inequality does the number line graph represent?

a)

x <= 4

b)

x>= -4

c)

x < -4

d)

x < 4

33.

a)

A)

b)

B)

c)

C)

d)

D)

34.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

35.

$-2v\ +\ v\ =\ 3$

a)

4

b)

$-5$

c)

$-3$

d)

5

36.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

37.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

38.

Which inequality is graphed on the given coordinate plane?

a)

y > x + 1

b)

y < x + 1

c)

y ≥ -x + 1

d)

y ≤ -x + 1

39.

Which is the graph of the system of inequalities?

a)

b)

c)

d)

40.

Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. Find the smallest integer.

a)

-41

b)

-40

c)

-39

d)

-43

41.

Three consecutive even integers are such that the sum of the smallest and 3 times the second is 38 more than twice the third. Find the largest integer.

a)

20

b)

22

c)

24

d)

26

42.

ax+r=7
solve for r $\$

a)

$r=7-\frac{a}{x}$

b)

r=7-ax

c)

r=7+ax

d)

r=7ax

43.

(x/5)-g=4
solve for x

a)

x=20+5g

b)

x=(4+g)/5

c)

x=5g+4

d)

x=4g+5

44.

If a = 4, b = 1, c = (-3)

find the value of $8-\frac{ac^2}{b}$

(a)

45.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

46.

Simplify the expression:

3x²- x + 7 + 5x + 2 - 2x²

a)

x²+ 4x + 9

b)

5x²+ 9

c)

15

d)

15x

47.

What is the difference between an expression and an equation

a)

Expressions have an equal sign and equations do not

b)

Equations have an equal sign and expressions do not

48.

Are these lines parallel, perpendicular, or just intersecting (but not perpendicular)?

$y=6x+2$ $y=-6x-2$

a)

Parallel

b)

Perpendicular

c)

Intersecting (but not perpendicular)

49.

Write 3/5 as a percent.

a)

3%

b)

30%

c)

5%

d)

60%

50.

3.7=

a)

3 ⁷/₁₀

b)

3 ⁷/₁₀₀

c)

37 ⁷/₁₀

d)

³⁷/₁₀₀

Final Exam Review Math 97 Fall 2023

Total questions: 50

Worksheet time: 4hrs 55mins

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