Free Printable Final Exam Review (Alg1 S2 sy24)

1.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

2.

Which equation best represents the relationship between x and y in the graph?

a)

y = 3x + 3

b)

y = 3x -1

c)

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

d)

$y\ =\ \frac{1}{3}x\ \ -\ 1$

3.

Graph the linear equation $y = 2x + 3$ .

a)

A line passing through $(0, 3)$ with a slope of $2$ .

b)

A line passing through $(0, 3)$ with a slope of $-2$ .

c)

A line passing through $(3, 0)$ with a slope of $2$ .

d)

A line passing through $(3, 0)$ with a slope of $-2$ .

4.

Which of the following represents the graph of the equation $y = -\frac{1}{2}x + 4$ ?

a)

A line passing through $(0, 4)$ with a slope of $\frac{1}{2}$ .

b)

A line passing through $(4, 0)$ with a slope of $-\frac{1}{2}$ .

c)

A line passing through $(0, 4)$ with a slope of $-\frac{1}{2}$ .

d)

A line passing through $(4, 0)$ with a slope of $\frac{1}{2}$ .

5.

If the graph of a linear equation passes through the points $(-3, -1)$ and $(1, 3)$ , what is the equation of the line?

a)

$y = x + 2$

b)

$y = 2x + 5$

c)

$y = x - 2$

d)

$y = x + 1$

6.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

7.

What is the equation of the red graph pictured?

a)

y = 3

b)

x = 3

c)

y = -3

d)

x = -3

8.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to represent this situation.

a)

y = 2x + 15

b)

x = 15y + 2

c)

y = 15x+ 2

9.

A rental company at Best Bargain Rental costs $150 a week, plus $0.10 per mile. Which equation represents the relationship between the number of miles (x) and the total cost in dollars (y) for a 2- week period?

a)

y = 2(150)(0.10x)

b)

y = 2(150) + 0.10x

c)

y = 150 + 2(0.10x)

d)

y = 2(150 + 0.10x)

10.

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

a)

35x + 7 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

7x + 35 = 63

11.

$\frac{3}{2}x\ =6$ solve for x

a)

4

b)

3

c)

12

d)

2

12.

3x+1=7

a)

2

b)

$\frac{8}{3}$

c)

3

d)

8

13.

$\frac{\left(x+2\right)}{2}=4$ Solve for x

a)

6

b)

0

c)

2

d)

4

14.

solve for x

a)

5

b)

-25

c)

15

d)

1/5

15.

solve for m

a)

-15

b)

15

c)

30

d)

-30

16.

5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

17.

6(5g+ 2)=30g

a)

g=2

b)

g=12

c)

all real numbers

d)

no solution

18.

5(2x -1) = -5+ 10x

a)

x = 5

b)

x = 0

c)

all real numbers

d)

no solution

19.

Solve for the variable.

8-3a+12=2a

a)

a = 4

b)

a = 1

c)

a = 3

d)

a = 5

20.

Find the solution to the following equation

9n+1=5(n-6)-1

***Use scratch paper.

a)

n=8

b)

n=-8

c)

n=2

d)

n=-2

21.

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

22.

What is the solution?
(Hint: Both lines are graphed over each other)

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

23.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

24.

These two lines intersect at _____.

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

25.

y = -2x + 5
y = 2x - 11

a)

No Solution

b)

(0, 0)

c)

(3, -1)

d)

(4, -3)

26.

Solve:
y = 2x -11
-3y = -6x -15

a)

(-1.5,-4)

b)

(1.5,4)

c)

No solution (parallel lines)

d)

Infinitely many solutions

27.

Solve for x and y
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

28.

x = 3

y=4x

What is the solution

a)

(3,4)

b)

(4,3)

c)

(3,12)

d)

(12,3)

29.

x = y +2

x + y =10

What is the solution?

a)

(6,4)

b)

(4,6)

c)

No Solution

d)

Many Solution

30.

x - 3y = -13
4x + 2y = 4

a)

(1, 4)

b)

(-1, -4)

c)

(-1, 4)

d)

(1, -4)

31.

Solve the system of equations using substitution. y = 3x - 3 and -3x + y = -3

a)

(0, -3)

b)

infinitely many solutions

c)

no solution

32.

A - B = C

(solve for A)

a)

A = C - B

b)

A = C + B

c)

A - C = B

d)

B = A - C

33.

IR = V

(solve for R)

a)

$R=IV$

b)

$R=\frac{I}{V}$

c)

$R=\frac{V}{I}$

d)

$R=V-I$

34.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

35.

$Solve:\ C=2\pi r,\ for\ r$

a)

$r=\frac{C}{2\pi}$

b)

$r=C+2\pi$

c)

$r=C-2\pi$

d)

$r=2\pi C$

36.

Solve the formula for t. What is the 1st step?

a)

Multiply each side by t.

b)

Subtract f from each side.

c)

Divide each side by t.

d)

Add s to each side.

37.

$y=\ \frac{z}{x}\ \ solve\ for\ x$

a)

$x\ =\ \frac{y}{z}$

b)

$x\ =\ \frac{z}{y}$

c)

$x\ =\ yz$

d)

$x\ =\ y\ -\ z$

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?

a)

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

b)

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

c)

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

d)

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?

a)

4x + 6y = 3
13.5x - 13y = 6

b)

x + y = 4
x - y = 6

c)

4x + 6y = 13
3x + 7y = 13.5

d)

4x - 6y = 13
3x - 7y = 13.5

40.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. What does x represent, what does y represent?

a)

X represents the cost of sodas and Y represents the cost of nachos

b)

X represents the number of nahcos purchased and Y represents the number of sodas purchased

41.

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

a)

Van 43
Bus 14

b)

Van 11
Bus 21

c)

Van 14
Bus 43

d)

Van 17
Bus 45

42.

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

a)

20 Multiple Choice

b)

10 Multiple CHoice

c)

15 Multiple Choice

d)

5 multiple choice

43.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

44.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 1/3x - 1

b)

y = 1/4x -1

c)

y = -1/3x +1

d)

y = -1/4x + 1

45.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = x

b)

y = x + 1

c)

y = -x

d)

y = -x + 1

46.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. How many nachos were sold, how many sodas were sold? Cannot do this without pencil and paper, must set up the system of equations.

a)

(35 , 52)

b)

(52 , 35)

47.

Given the rate of change of a line is $\frac{3}{2}$ and the point (4, 10) is on the line, what is the y-intercept?

a)

0

b)

10

c)

4

d)

-6

48.

What type of function will fit these data points?

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the above

49.

The equation $y\ =\ 7\left(0.25\right)^x$ represents a (a) function (linear, quadratic or exponential?).

50.

The equation $y\ =\ 2x^2-3$ represents a (a) function (linear, quadratic or exponential?).

51.

Which graph represents a quadratic function ?

a)

b)

c)

d)

52.

Is the table linear, exponential, Quadratic, or not a function at all?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Not a function

53.

Write the exponential equation that represents the given table.

a)

$y=5\cdot2^x$

b)

$y=10\cdot2^x$

c)

$y=5+2x$

d)

$y=10x+10$

54.

Write the exponential equation that represents the given table.

a)

$y=80\cdot4^x$

b)

$y=80\cdot\frac{1}{4}^x$

c)

$y=80-60x$

d)

$y=80+\frac{1}{4}x$

55.

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

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

56.

How should this function be classified?

a)

Linear

b)

Exponential

c)

Quadratic

d)

None of the above

57.

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?

a)

y = 9.65 + x
y = 8.40 + x

b)

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

c)

y =9.65x
y = 8.40x

d)

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

58.

The height of a person who is throwing a football

a)

y-intercept

b)

x-intercept

c)

x-coordinate of vertex

d)

y-coordinate of vertex

59.

How long it takes for a company to make it's max profits

a)

y-intercept

b)

x-intercept

c)

x-coordinate of the vertex

d)

y-coordinate of the vertex

60.

How long it takes for a plane to land

a)

y-intercept

b)

x-intercept

c)

x-coordinate of the vertex

d)

y-coordinate of the vertex

61.

Which best describes the vertex of a parabola?

a)

Any point on the parabola.

b)

A point on the x-axis.

c)

The highest or lowest point of a parabola

d)

A point on the y-axis.

62.

Name the vertex

a)

(1,1)

b)

(0,0)

63.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

64.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

65.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

66.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

67.

This is an example of: $f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

Final Exam Review (Alg1 S2 sy24)

Total questions: 67

Worksheet time: 17hrs 45mins

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