Algebra for Sixth Graders: Interactive Quizzes and Practice

Question 1

Maria has earned $500 so far. She earns $x per hour and will work for 3 more hours. How much money will she have earned in total?

Accepted Answer

$500 + $3x

Answer

$500 - $3x

Answer

$3x - $500

Answer

$500

Question 2

A fruit stand sells apples for 'x' cents each. If Maria buys 5 apples, what algebraic expression represents the total cost of her purchase?

Accepted Answer

5x

Answer

x + 5

Answer

5 - x

Answer

x / 5

Question 3

A company charges a fixed fee of $50 plus $10 for each hour of service. What is the algebraic expression for the total cost of the service?

Accepted Answer

50 + 10h

Answer

50 - 10h

Answer

10h - 50

Answer

50h + 10

Question 4

Simplify the expression: 3(2x - 5)

Accepted Answer

6x - 15

Answer

3x - 5

Answer

6x + 15

Question 5

Two numbers add up to 10 and multiply to 24. What are these two numbers?

Accepted Answer

4 and 6

Answer

3 and 7

Answer

5 and 5

Question 6

Which graph shows the equation **y = 2x - 1**?

Accepted Answer

A straight line through (0, -1) and (1, 1)

Answer

A parabola opening up with a vertex at (0, 1)

Answer

A circle with a radius of 1 and a center at (0, 0)

Answer

An exponential curve that increases quickly as x increases

Question 7

Translate the algebraic expression 5x + 2 into words.

Accepted Answer

Five times a number, plus two

Answer

Five plus two multiplied by a number

Answer

Two times a number plus five

Answer

A number divided by five, plus two

Question 8

A fruit stand sells apples for 50 cents each and oranges for 75 cents each. If a customer buys x apples and y oranges, what is the total cost of their purchase?

Accepted Answer

50x + 75y

Answer

x + y

Answer

50x - 75y

Answer

75x + 50y

Question 9

Are the inequalities 2x - 5 > 1 and 2(x - 2) + 1 > 5 equivalent?

Accepted Answer

Yes

Answer

No, 2x - 5 > 1 is greater

Answer

No, 2(x - 2) + 1 > 5 is greater

Question 10

Which of the following is a mathematical expression that contains variables?

Accepted Answer

2x + 3

Answer

ten plus five

Answer

x is greater than 5

Answer

the sum of two numbers

Question 11

Simplify the algebraic expression: 3(x - 2)

Accepted Answer

3x - 6

Answer

3x - 2

Answer

x - 6

Answer

x - 2

Question 12

In the equation 2x - 5 = 11, which variable represents the unknown number?

Accepted Answer

x

Answer

y

Answer

z

Answer

w

Question 13

Which of the following equations represents a straight line graph?

Accepted Answer

y = 2x + 1

Answer

y = x^2 + 3

Answer

y = 1/x

Answer

y = e^x

Question 14

What is a variable?

Accepted Answer

A number that changes

Answer

A fixed number

Answer

An operation

Answer

A shape

Question 15

What is an inequality?

Accepted Answer

A statement that two expressions are not equal

Answer

An equation with two equal signs

Answer

An equation with one equal sign

Answer

A statement that two expressions are equal

Question 16

Which step should you take first to solve the equation: 3x + 5 = 14?

Accepted Answer

Subtract 5 from both sides

Answer

Multiply both sides by 3

Answer

Divide both sides by 3

Answer

Add 5 to both sides

Question 17

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

Accepted Answer

x^2 - 5x - 6

Answer

x^2 - x - 6

Answer

x^2 + 5x - 6

Answer

x^2 + x - 6

Question 18

Identify the variable in the expression:

Accepted Answer

x

Answer

10

Answer

=

Answer

+

Question 19

Which of the following choices is considered an algebraic expression?

Accepted Answer

x + 3

Answer

x = 3

Answer

3 > 2

Answer

x

Question 20

Solve for the unknown variable (x) in the equation: x + 5 = 10

Accepted Answer

5

Answer

10

Answer

15

Answer

20

Question 21

Identify the linear equation among the following options:

Accepted Answer

y = 3x + 2

Answer

y = x^2

Answer

y = 1/x

Answer

y = 3

Question 22

Simplify the given algebraic expression: 2(x + 3)

Accepted Answer

2x + 6

Answer

x + 6

Answer

2x + 3

Answer

4x + 3

Question 23

Identify the mathematical inequality from the given options:

Accepted Answer

y - 3 > 7

Answer

x + 5 = 10

Answer

2 * z = 12

Question 24

Solve the inequality 2x - 5 is greater than 1 and show the solution on a number line.

Accepted Answer

x > 3

Answer

x < 3

Answer

x > 2

Question 25

In the equation 2x + 5 = 11, which letter stands for the unknown number?

Accepted Answer

x

Answer

5

Answer

11

Question 26

A company charges $50 for the first hour of service and $10 for each additional hour. Write an algebraic expression for the total cost of the service.

Accepted Answer

50 + 10h

Answer

50h + 10

Answer

10 + 50h

Answer

10h - 50

Question 27

In the expression 2x^2 - 5x + 3, which part represents the variable?

Accepted Answer

(b) x

Answer

(a) 2

Answer

(c) -5

Answer

(d) 3

Question 28

Which equation represents a graph that forms a straight line?

Accepted Answer

y = 2x + 1

Answer

y = x^2 + 1

Answer

y = 1/x

Answer

y = |x|

Question 29

Which of the following is an algebraic expression?

Accepted Answer

2x + 5

Answer

x equals 5

Answer

5 is greater than 2

Question 30

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

Accepted Answer

2x + 6

Answer

x + 6

Answer

2(x + 6)

Question 31

Which graph shows the equation y = x + 2?

Accepted Answer

A straight line going up through the point (0, 2)

Answer

A U-shaped curve with its bottom at (0, 2)

Answer

A circle with its center at (0, 2) and a radius of 1

Answer

An oval with its center at (0, 2) and its long side going across

Question 32

A triangle has a base of 5 units and a height of 3 units. Which expression represents the area of the triangle?

Accepted Answer

5 * 3

Answer

5 + 3

Answer

5 / 3

Answer

3 - 5

Question 33

Which graph represents the function f(x) = |x - 2|?

Accepted Answer

V-shaped graph with a vertex at (2,0)

Answer

U-shaped graph with a vertex at (2,0)

Answer

Line with a slope of 1 and y-intercept of 2

Answer

Circle with a center at (2,0) and a radius of 2

Question 34

Simplify the algebraic expression: 2x + 3x - 5

Accepted Answer

5x - 5

Answer

x - 5

Answer

5x + 5

Answer

Cannot be simplified

Question 35

Solve for x: x + 7 = 15

Accepted Answer

x = 9

Answer

x = 8

Answer

x = 10

Answer

x = 11

Question 36

Which of the following represents the distributive property?

Accepted Answer

a(b + c) = ab + ac

Answer

a + b = b + a

Answer

a - b = b - a

Answer

a * b = b * a

Question 37

What is the value of x in the equation x + 3 = 7?

Accepted Answer

4

Answer

7

Answer

3

Answer

10

Question 38

Which of these represents the inequality 'x is less than or equal to 5'?

Accepted Answer

x ≤ 5

Answer

x > 5

Answer

x < 5

Answer

x ≥ 5

Question 39

Which of these is an example of an application of algebra in real life?

Accepted Answer

Calculating the area of a rectangle

Answer

Predicting the weather

Answer

Measuring the speed of a car

Answer

Playing video games

Question 40

Solve the equation: |x - 5| = 3

Accepted Answer

x = 2 or x = 8

Answer

x = -2 or x = -8

Answer

x = 5 or x = -5

Answer

There are no solutions

Question 41

Which of the following represents a variable?

Accepted Answer

x

Answer

a

Answer

5

Answer

dog

Question 42

Simplify the algebraic expression: 3x + 2x

Accepted Answer

5x

Answer

x

Answer

5

Answer

2x

Question 43

Solve for x: x - 3 = 7

Accepted Answer

4

Answer

10

Answer

6

Answer

12

Question 44

Identify the inequality:

Accepted Answer

x > 5

Answer

x = 5

Answer

x + y = 10

Answer

x - 2 = 0

Question 45

Draw a number line to represent the inequality: x < 2

Accepted Answer

A number line with an open circle at 2 and shading to the left

Answer

A number line with a closed circle at 2 and shading to the right

Answer

A number line with no circles and shading to the left

Answer

A number line with no circles and shading to the right

Question 46

Which expression is equivalent to 2(x + 3)?

Accepted Answer

2x + 6

Answer

2x + 3

Answer

x + 6

Answer

6x

Question 47

Solve for y: 3y - 5 = 10

Accepted Answer

7.5

Answer

5

Answer

15

Answer

25

Question 48

Which equation is linear?

Accepted Answer

y = 2x + 1

Answer

y = x^2

Answer

y = 1/x

Answer

y = x^3

Question 49

Which is NOT a step in solving an algebraic equation?

Accepted Answer

Guessing and checking

Answer

Isolating the variable

Answer

Combining like terms

Answer

Simplifying the equation

Question 50

A store sells apples for $0.50 each and oranges for $0.75 each. If a customer buys x apples and y oranges, which algebraic expression represents the total cost of their purchase?

Accepted Answer

0.50x + 0.75y

Answer

x + y

Answer

0.50x - 0.75y

Question 51

Which of the following is an algebraic expression?

Accepted Answer

x - 2

Answer

3 + 5

Answer

12/4

Answer

true

Question 52

Solve for x: 2x + 5 = 13

Accepted Answer

x = 4

Answer

x = 3

Answer

x = 5

Answer

x = 6

Question 53

Which of the following is a variable?

Accepted Answer

x

Answer

15

Answer

true

Answer

$

Question 54

Translate the following expression into words: 5x + 2y

Accepted Answer

5 times a number plus 2 times another number

Answer

5 plus 2 times a number

Answer

5 times a number minus 2

Answer

2 times a number plus 5

Question 55

Find the values of x that make the inequality true: |x - 5| is greater than 3

Accepted Answer

x is less than 2 or x is greater than 8

Answer

x is less than 8 or x is greater than 2

Answer

x is greater than 2 and x is less than 8

Answer

x is equal to 5

Question 56

Which of the following is an inequality?

Accepted Answer

x < 10

Answer

2x + 5 = 15

Answer

x = 10

Answer

x + y = 10

Question 57

Which of the following represents the equation of a straight line?

Accepted Answer

y = mx + b

Answer

xy = 5

Answer

x^2 + y^2 = 5

Answer

x + y = 5

Question 58

Which of the following is a system of equations?

Accepted Answer

x + y = 5 and x - y = 1

Answer

y = 10

Answer

2x + 5y = 10

Answer

x = 5

Question 59

Solve for x: x + 3 = 7

Accepted Answer

4

Answer

10

Answer

7

Answer

3

Question 60

Simplify the following expression: 2(x + 2)

Accepted Answer

2x + 4

Answer

4x + 2

Answer

x + 4

Answer

x - 4

Question 61

Which of the following is equivalent to 2x - 3?

Accepted Answer

-3 + 2x

Answer

2x + 3

Answer

3 - 2x

Answer

3x - 2

Question 62

Which of the following is a variable?

Accepted Answer

y

Answer

5

Answer

+

Answer

=

Question 63

Which of the following is a linear equation?

Accepted Answer

y = x + 2

Answer

y = |x|

Answer

y = x^2 + 1

Answer

y = 1/x

Question 64

Which expression is equivalent to 2x + 5?

Accepted Answer

5 + 2x

Answer

2x - 5

Answer

x^2 + 5

Answer

(2 + x) * 5