Review of Algebra I: Master the Basics for Algebra II Success

Question 1

Factor the expression: x^2 - 9

Accepted Answer

(x - 3)(x + 3)

Answer

(x + 3)(x - 3)

Answer

(x - 9)(x + 9)

Answer

(x + 9)(x - 9)

Question 2

Which of the following is the graph of the function: f(x) = -x^2 + 4

Accepted Answer

A parabola opening downward

Answer

A parabola opening upward

Answer

A line with a positive slope

Answer

A line with a negative slope

Question 3

Identify the vertex of the parabola: y = -(x - 2)^2 + 3

Accepted Answer

(2, 3)

Answer

(0, 3)

Answer

(3, 2)

Answer

(2, 0)

Question 4

Solve the inequality: x² - 5x + 6 > 0

Accepted Answer

(x - 2)(x - 3) > 0

Answer

(x - 2)(x - 3) < 0

Answer

(x + 2)(x + 3) > 0

Answer

(x + 2)(x + 3) < 0

Question 5

Find the solution to the equation: 2x + 5 = 13.

Accepted Answer

x = 3

Answer

x = 4

Answer

x = 5

Answer

x = 6

Question 6

Write the equation of the line that has a slope of 2 and a y-intercept of -3.

Accepted Answer

y = 2x - 3

Answer

y = -2x + 3

Answer

y = 3x - 2

Answer

y = -3x + 2

Question 7

Factor the expression: x^2 - 9.

Accepted Answer

(x - 3)(x + 3)

Answer

(x - 9)(x + 1)

Answer

(x - 1)(x - 9)

Answer

(x + 3)(x - 9)

Question 8

Find the domain and range of the function f(x) = sqrt(x - 1).

Accepted Answer

Domain: x >= 1, Range: y >= 0

Answer

Domain: x <= 1, Range: y <= 0

Answer

Domain: x >= 0, Range: y >= 1

Answer

Domain: x <= 0, Range: y <= 1

Question 9

Which of the following equations is in slope-intercept form (y = mx + b), where 'm' represents the slope and 'b' represents the y-intercept?

Accepted Answer

y = mx + b

Answer

y = mx - b

Answer

x = my + b

Answer

x = my - b

Question 10

Identify which of the following functions is a polynomial function:

Accepted Answer

f(x) = 2x^3 + 5x^2 - 3

Answer

f(x) = (x - 1)/(x + 2)

Answer

f(x) = sin(x)

Answer

f(x) = e^x

Question 11

Factor the quadratic expression: x^2 - 4x + 4.

Accepted Answer

(x - 2)^2

Answer

(x + 2)^2

Answer

(x - 4)^2

Answer

(x + 4)^2

Question 12

Which of the following numbers is a rational number?

Accepted Answer

3/4

Answer

√2

Answer

π

Answer

e

Question 13

What is the slope of a line perpendicular to y = 2x + 3?

Accepted Answer

-1/2

Answer

2

Answer

1/2

Answer

-2

Question 14

Which of the following systems of equations has no solution?

Accepted Answer

y = x + 1
y = x - 1

Answer

y = 2x + 1
y = -x + 3

Answer

y = 3x - 2
y = -3x + 8

Answer

y = 2x
y = 3x + 2

Question 15

What is the equation of the line perpendicular to y = 2x - 3 and passing through the point (2, 5)?

Accepted Answer

y = -1/2x + 4

Answer

y = 1/2x + 2

Answer

y = -2x + 9

Answer

y = 2x + 1

Question 16

Find the slope of the line passing through the points (2, 4) and (6, 10)

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 17

Graph the function: f(x) = -2x + 3

Accepted Answer

A line with a slope of -2 and a y-intercept of 3

Answer

A line with a slope of 2 and a y-intercept of -3

Answer

A line with a slope of -2 and a y-intercept of -3

Answer

A line with a slope of 2 and a y-intercept of 3

Question 18

Which of the following is the inverse operation of multiplication?

Accepted Answer

Division

Answer

Addition

Answer

Subtraction

Answer

Exponents

Question 19

Find the slope of the line that passes through the points (2, 5) and (4, 9).

Accepted Answer

2

Answer

1

Answer

4

Answer

-2

Question 20

Which transformation would shift the graph of y = x^2 up 3 units?

Accepted Answer

y = x^2 + 3

Answer

y = (x + 3)^2

Answer

y = x^2 - 3

Answer

y = (x - 3)^2

Question 21

Which inequality correctly shows the solution set of x greater than 5?

Accepted Answer

x > 5

Answer

x ≥ 5

Answer

x < 5

Answer

x ≤ 5

Question 22

Factor the quadratic expression: x^2 - 9

Accepted Answer

(x + 3)(x - 3)

Answer

(x + 9)(x - 9)

Answer

(x + 1)(x - 9)

Question 23

Which of the following is not a rational number?

Accepted Answer

√2

Answer

0

Answer

-3.5

Answer

1/2

Question 24

What is the solution to the equation 2x + 5 = 11?

Accepted Answer

x = 3

Answer

x = 8

Answer

x = -3

Answer

x = 2

Question 25

Which of the following is the simplified form of the expression 3(x - 2) + 4x?

Accepted Answer

7x - 6

Answer

x + 6

Answer

x - 6

Answer

7x + 6

Question 26

If y = 2x - 1, what is the value of y when x = 4?

Accepted Answer

y = 7

Answer

y = 9

Answer

y = 3

Answer

y = 1

Question 27

What is the slope of the line represented by the equation y = -3x + 2?

Accepted Answer

-3

Answer

2

Answer

3

Answer

-2

Question 28

What is the solution to the system of equations: 2x + y = 5 and x - y = 1?

Accepted Answer

x = 2, y = 1

Answer

x = 3, y = -1

Answer

x = 1, y = 2

Answer

x = -1, y = 3

Question 29

What is the value of x in the equation 3x² - 12 = 0?

Accepted Answer

x = ±2

Answer

x = -2

Answer

x = 2

Answer

x = 4

Question 30

Which of the following is the factored form of the expression x² - 9?

Accepted Answer

(x + 3)(x - 3)

Answer

(x + 9)(x - 1)

Answer

(x - 9)(x + 1)

Answer

(x + 3)(x + 3)

Question 31

The graph of the function f(x) = 2x - 3 is a straight line. What is the y-intercept of this line?

Accepted Answer

(0, -3)

Answer

(3, 0)

Answer

(0, 2)

Answer

(2, 0)

Question 32

If the domain of the function f(x) = x² + 1 is {1, 2, 3}, what is the range of the function?

Accepted Answer

{2, 5, 10}

Answer

{1, 4, 9}

Answer

{1, 2, 3}

Answer

{0, 1, 2}

Question 33

Solve for x: 2x + 5 = 11

Accepted Answer

x = 3

Answer

x = -3

Answer

x = 2

Answer

x = 8

Question 34

What is the slope of the line represented by the equation y = -3x + 2?

Accepted Answer

-3

Answer

2

Answer

-2

Answer

3

Question 35

Simplify the expression: 3(x + 2) - 4x

Accepted Answer

-x + 6

Answer

-x - 6

Answer

7x + 6

Question 36

Solve the inequality: 2x - 1 > 5

Accepted Answer

x > 3

Answer

x < 3

Answer

x > -3

Answer

x < -3

Question 37

Which of the following is the equation of a line that passes through the points (2, 1) and (4, 5)?

Accepted Answer

y = 2x - 3

Answer

y = -2x + 5

Answer

y = x + 1

Answer

y = -x + 3

Question 38

What is the value of f(2) if f(x) = 3x - 1?

Accepted Answer

5

Answer

1

Answer

-1

Answer

7

Question 39

Which of the following is the graph of the equation y = -x^2 + 4?

Accepted Answer

A graph opening downwards with a vertex at (0, 4)

Answer

A graph opening upwards with a vertex at (0, 4)

Answer

A straight line with a positive slope

Answer

A straight line with a negative slope

Question 40

Factor the expression: x^2 - 9

Accepted Answer

(x + 3)(x - 3)

Answer

(x + 3)(x + 3)

Answer

(x - 3)(x - 3)

Answer

(x + 9)(x - 9)

Question 41

Solve the system of equations: 2x + y = 5 and x - y = 1

Accepted Answer

x = 2, y = 1

Answer

x = 1, y = 2

Answer

x = -2, y = -1

Answer

x = -1, y = -2

Question 42

The cost of a pizza is $10 plus $2 per topping.  Write an equation that represents the total cost (c) of a pizza with 't' toppings.

Accepted Answer

c = 10 + 2t

Answer

c = 12t

Answer

c = 10t + 2

Answer

c = 2t - 10