Free Printable M1 S2 Final Review 2024-2025

1.

How many solutions will this system have?

a)

One

b)

Two

c)

No Solution

d)

Infinitely Many Solutions

2.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

3.

The solution (x, y) to a system of equations is the point where they...?

a)

Run off the graph

b)

Don't touch

c)

Intersect

d)

Exist

4.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

5.

Graph the equation

$y=\frac{4}{3}x+1$

6.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

7.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

8.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

9.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

10.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

11.

What will happen when these two equations are added together?

4x + 8y = 20

-4x + 2y = -30

a)

You'll end up with a third equation:

-8x + 6y = 50

b)

the y-terms will cancel out

c)

You'll end up with a third equation:

8x + 10y = -10

d)

the x terms will cancel out because they are opposites

12.

True or False: The equation system below already has a pair of opposites.

3x - 5y = 8

2x + 5y = -3

a)

True

b)

False

13.

To prepare for a recent road trip, Jill filled up her 19-gallon tank. She estimates that her SUV will use about three gallons per hour. Write an equation to model the amount of gasoline, G, remaining in her tank after t hours.

a)

G=19 – 3t

b)

G=19 + 3t

c)

G=3 - 19t

d)

G=3 + 19t

14.

A mechanic charges a flat fee of $15 and then charges $65 per hour. Write a formula for the total cost of hiring the mechanic.

a)

y = 15x + 65

b)

y = 65x + 15

15.

Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenario?

a)

y = -50x + 90

b)

y = 90x + 50

c)

y = -90 - 50x

d)

y = 50 - 90x

16.

Amelia has $100 in her savings account and plans on saving $20 per week. Write an equation to represent this situation.

a)

y = 100x

b)

y = 20x

c)

y = 20x + 100

d)

y = 100x + 20

17.

A plant is 5cm tall and growing at a rate of 3cm a month.

a)

y = 5 - 3x

b)

y = 5x + 3

c)

y = 3x +5

18.

Describe this function.

a)

Exponential Growth

b)

Exponential Decay

c)

Linear Positive

19.

a)

Exponential Growth

b)

Exponential Decay

c)

Quadratic

20.

What is the "a" or the initial value of the equation.

$y\ =\ 5\left(\frac{1}{2}\right)^x$

21.

Describe the translation.

$y\ =\ 3^x+\ 2$

a)

Up 2

b)

Down 2

22.

Describe the translation.

$y\ =\ 6^x-\ 3$

a)

Up 3

b)

Down 3

23.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

24.

What is the y-intercept of the function?

a)

(0, 2)

b)

(0, 3)

c)

(0, 1)

d)

(0, -2)

25.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

INITIAL VALUE

d)

COMMON RATIO

26.

What is the initial value of the situation represented by f(x)=0.05(2)^x?

a)

0.05

b)

2

c)

0.1

d)

1

27.

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

a)

2

b)

4

c)

(2)^x

d)

8

28.

Identify the initial value:

y = 6.87 (4)^x

a)

a = 4

b)

a = 6.87

c)

a = 3

d)

a = 1

29.

What type of pattern do exponential functions have?

a)

Adds or subtracts by the same number every time

b)

Multiplies or divides by the same number every time

c)

Square roots all the inputs

30.

What is the Domain of this exponential function?

a)

y=1

b)

x=0

c)

$\left(-\infty,\infty\right)$

d)

x>0

31.

What is the Range of this function?

a)

$\left(0,\infty\right)$

b)

x> 0

c)

$\left(-\infty,\infty\right)$

d)

y= 1

32.

What is the domain and range of the function y=2^x?

Use the graph to help!

a)

Domain: All Real Numbers

Range: y>0

b)

Domain: All Real Numbers

Range: y>1

c)

Domain: x > -2

Range: y<0

d)

Domain: x>04-4

Range: y>0

33.

Identify which functions are exponential.

a)

f(x) = 2x - 5

b)

g(x) = 3^x

c)

k(x) = 3x⁴ - 6x + 9

d)

k\left(x\right)=3\cdot\left(\frac{1}{2}\right)^x

34.

What is the range of the function?

a)

(3,∞)

b)

(-6,∞)

c)

(0,∞)

d)

(-∞,∞)

35.

What is the domain of the exponential function?

a)

(-∞,∞)

b)

(0,∞)

c)

[1,∞)

d)

[-10,2]

36.

What is the y-intercept of the following function?

a)

There is no y-intercept

b)

(1,0)

c)

(0,1)

d)

(0,4)

e)

(4,0)

37.

What is the range of the function?

a)

$\left(0,\ \infty\right)$

b)

$\left(-\infty,0\right)$

c)

all real numbers

38.

What is the domain of the following function?

a)

$\left(1,\infty\right)$

b)

$\left(-2,2\right)$

c)

$\left(-\infty,\infty\right)$

39.

Is this exponential function increasing or decreasing?

a)

increasing

b)

decreasing

40.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

41.

-4x⁰

a)

-4x

b)

-4

c)

1

d)

-1

42.

d⁸⋅d¹⁰

a)

d²

b)

d⁸⁰

c)

d⁸¹⁰

d)

d¹⁸

43.

Simplify

a)

x⁴/3

b)

3x¹⁰

c)

36x¹⁰

d)

3x⁴

44.

n⋅n⁴⋅n⁵

a)

n¹⁰

b)

n⁴⁰

c)

n¹³

d)

n²²

45.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

46.

Simplifies to

a)

5⁶¹

b)

5¹⁷

c)

5¹¹

47.

Simplifies to:

a)

6⁸

b)

6^-2

c)

6²

d)

$\frac{1}{6^2}$

48.

Simplifies to:

a)

$7^2$

b)

$7^1$

c)

$\frac{1}{7^2}$

d)

Does not simplify

49.

Simplifies to:

a)

$8^{12}$

b)

$8^{-1}$

c)

$8^7$

d)

$8^1$

50.

Write $7^5$ in expanded form

a)

7 x 2

b)

7x 7 x 7 x 7 x 7

c)

526

d)

35

51.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same value

d)

Zero is greater

52.

(x²)⁶

a)

x¹²

b)

x⁸

c)

x²⁶

d)

x⁴

53.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

54.

Write in exponential form
∛x⁷

a)

x⁷∕ ³

b)

x3⁄7

c)

3x⁷

d)

7x³

55.

Find the value of ∠A.

a)

25 degrees

b)

30 degrees

c)

35 degrees

d)

90 degrees

56.

What is another name for ∠H

a)

∠KGH

b)

∠LGH

c)

∠LHG

d)

∠K

57.

Find the length indicated.

(a)

58.

Find the length indicated.

(a)

59.

Write an equation that correctly models the lengths shown.

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

60.

Write an equation that correctly models the lengths shown.

a)

3x + 2 + 6 = 2x - 2

b)

2x - 2 + 6 = 3x + 2

c)

6 - 3x - 2 = 2x - 2

d)

2x + 2 + 3x + 2 = 6

61.

What is the length of YZ?

a)

39

b)

139

c)

37

d)

31

62.

4. Find the indicated angle measure. (Enter number value only)

(a)

63.

Name the vertex of the angle.

a)

E

b)

F

c)

D

d)

E, F, and D are vertices

64.

$\overrightarrow{xy}\$ What does this represent?

a)

Ray xy

b)

Line xy

c)

Line segment xy

d)

Point xy

65.

This picture shows

a)

a ray

b)

a line segment

c)

an angle

d)

a line

66.

This picture shows

a)

an acute angle

b)

a parallel line

c)

a right angle

d)

two line segments

67.

This picture shows

a)

an angle

b)

a ray

c)

a line segment

d)

a line

68.

Given angle $\angle GHI$ , what's the vertex?

a)

G

b)

H

c)

I

d)

None

69.

Which segments are congruent?

a)

$\overline{CD}\ \cong\overline{DE}$

b)

$\overline{DE}\ \cong\ \overline{EF}$

c)

$\overline{EF}\ \cong\ \overline{FG}$

d)

$\overline{CE}\cong\overline{DE}$

70.

Find DE

a)

5

b)

6

c)

20

d)

21

M1 S2 Final Review 2024-2025

Total questions: 70

Worksheet time: 1hrs 10mins

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