Expressions and Equations: Master Algebra's Building Blocks

Question 1

What is the slope and y-intercept of the line represented by the equation y = 2x + 1?

Accepted Answer

Slope: 2, y-intercept: 1

Answer

Slope: 1, y-intercept: 2

Answer

Slope: -1, y-intercept: 1

Answer

Slope: 2, y-intercept: -1

Question 2

Simplify the expression: (2x^2y) * (-3xy^2)

Accepted Answer

-6x^3y^3

Answer

6x^2y^3

Answer

-2x^2y^3

Answer

6x^3y^3

Question 3

Factor the expression: x^2 - 4

Accepted Answer

(x + 2)(x - 2)

Answer

Cannot be factored

Answer

(x + 4)(x - 1)

Answer

(x - 2)^2

Question 4

Identify the slope and y-intercept of the line represented by the equation 2x + 3y = 6.

Accepted Answer

(-2/3, 2)

Answer

(-3/2, 2)

Answer

(2/3, -2)

Answer

(3/2, -2)

Question 5

Simplify the rational expression: (x^2 - 4)/(x - 2)

Accepted Answer

x + 2

Answer

x - 2

Answer

(x + 2)^2

Answer

(x - 2)^2

Question 6

Solve the equation: 2(x - 3) = 10

Accepted Answer

x = 7

Answer

x = 10

Answer

x = 9

Answer

x = 5

Question 7

Factor the expression: x^2 - 25

Accepted Answer

(x + 5)(x - 5)

Answer

(x + 25)(x - 25)

Answer

(x + 5)(x + 5)

Answer

(x - 5)(x - 5)

Question 8

Simplify the expression: 3x + 2y - 5x + 4y

Accepted Answer

-2x + 6y

Answer

-2x - 2y

Answer

8x - 2y

Answer

8x + 6y

Question 9

What is the value of the expression 2a + 3b when a = 4 and b = -2?

Accepted Answer

2

Answer

10

Answer

-2

Answer

14

Question 10

Which equation represents the phrase 'five less than twice a number is 13'?

Accepted Answer

2x - 5 = 13

Answer

5 - 2x = 13

Answer

5x - 2 = 13

Answer

2x + 5 = 13

Question 11

Solve for x: 3x - 7 = 8

Accepted Answer

x = 5

Answer

x = -5

Answer

x = -1

Answer

x = 1

Question 12

The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width.  What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?

Accepted Answer

26 cm

Answer

16 cm

Answer

40 cm

Answer

13 cm

Question 13

What is the solution to the inequality 4x - 5 ≤ 11?

Accepted Answer

x ≤ 4

Answer

x ≥ 4

Answer

x ≥ -4

Answer

x ≤ -4

Question 14

Simplify the expression: 3x + 2y - 5x + 4y

Accepted Answer

-2x + 6y

Answer

-2x - 2y

Answer

8x - 2y

Answer

8x + 6y

Question 15

What is the value of the expression 2a - 3b when a = 5 and b = 2?

Accepted Answer

4

Answer

1

Answer

16

Answer

-4

Question 16

Which of the following is an equation?

Accepted Answer

2x + 5 = 11

Answer

3x + 4y

Answer

x - 2

Question 17

Solve for x:  x + 7 = 12

Accepted Answer

x = 5

Answer

x = 19

Answer

x = -5

Question 18

What is the solution to the equation 3x - 6 = 15?

Accepted Answer

x = 7

Answer

x = 3

Answer

x = -7

Answer

x = -3

Question 19

Which of the following is a solution to the inequality 2x + 1 < 9?

Accepted Answer

x = 3

Answer

x = 5

Answer

x = 6

Answer

x = 7

Question 20

Which equation represents the line passing through the points (2, 1) and (4, 5)?

Accepted Answer

y = 2x - 3

Answer

y = -2x + 5

Answer

y = x + 1

Answer

y = x - 1

Question 21

The perimeter of a rectangle is 20 cm. If the length is 7 cm, what is the width?

Accepted Answer

3 cm

Answer

10 cm

Answer

13 cm

Answer

6 cm

Question 22

A store sells t-shirts for $10 each and jeans for $25 each. If you buy 3 t-shirts and 2 pairs of jeans, how much will you spend?

Accepted Answer

$80

Answer

$55

Answer

$100

Answer

$125

Question 23

The sum of two consecutive integers is 35. What are the two integers?

Accepted Answer

17 and 18

Answer

16 and 19

Answer

15 and 20

Answer

14 and 21

Question 24

Which of the following is an example of an algebraic expression?

Accepted Answer

3x + 2y

Answer

2 = 5

Answer

The answer is 10

Answer

x is a number

Question 25

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

Accepted Answer

2x + 10

Answer

x + 6 + 4

Answer

2x + 6

Answer

x + 10

Question 26

Solve for x: 3x - 5 = 10

Accepted Answer

5

Answer

15

Answer

3

Question 27

Graph the equation: y = 2x + 1

Accepted Answer

Image of a linear graph with a y-intercept of 1 and a slope of 2

Answer

Image of a circle

Answer

Image of a parabola

Question 28

Which of the following is equivalent to the expression: (x + 2)(x - 3)?

Accepted Answer

x^2 - x - 6

Answer

x^2 + x - 6

Answer

x^2 - 5x + 6

Answer

x^2 + 5x + 6

Question 29

Factor the expression: x^2 - 9

Accepted Answer

(x + 3)(x - 3)

Answer

(x - 3)^2

Answer

Cannot be factored

Answer

(x + 3)^2

Question 30

Solve the system of equations: y = x + 1 and y = 2x - 3

Accepted Answer

x = 2, y = 3

Answer

x = 1, y = 2

Answer

x = 3, y = 4

Question 31

Which of the following is a quadratic equation?

Accepted Answer

x^2 + 3x - 2 = 0

Answer

y = mx + b

Answer

x + 3 = 7

Answer

2x - 5 = 10

Question 32

Find the roots of the equation: x^2 - 5x + 6 = 0

Accepted Answer

2, 3

Answer

5, 6

Answer

1, 4

Answer

No real roots

Question 33

Which of the following is the standard form of a quadratic equation?

Accepted Answer

ax^2 + bx + c = 0

Answer

y = mx + b

Answer

x^2 + y^2 = 1

Answer

x + y = z