Quiz about Algebraic Expressions and Distributive Property

Question 1

These have the the same variable and can, therefore, be combined...

Accepted Answer

Like Terms

Answer

Expressions

Answer

Distributive Property

Answer

Additive Inverse

Question 2

Simplify the expression using the distributive property:

6(5x + 7)

Accepted Answer

30x + 42

Answer

30x + 7

Answer

5x + 42

Answer

11x + 13

Question 3

Simplify the expression -2(x + 5).

Accepted Answer

-2x - 10

Answer

-2x + 10

Answer

-2x + 5

Answer

-2x - 5

Question 4

Which expression if equal to (x - 6)4?

Accepted Answer

4x - 24

Answer

24 - 4x

Answer

4x - 6

Answer

x - 24

Question 5

Simplify the expression 2(3x - 1) + 10.

Accepted Answer

6x + 8

Answer

6x + 12

Answer

6x + 9

Answer

6x - 8

Question 6

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

Accepted Answer

-3x - 3

Answer

-x + 3

Answer

3x + 3

Answer

4x + (-2)

Question 7

Simplify the Expression: -4(x + 6) + 2(x - 2)

Accepted Answer

-2x - 28

Answer

2x + 28

Answer

6x - 20

Answer

6x - 28

Question 8

-3(x + 4) + 6x

Accepted Answer

3x - 12

Answer

3x - 4

Answer

3x + 4

Answer

-3x + 12

Question 9

-3(x - 2) + 8(2x + 1)

Accepted Answer

13x + 14

Answer

13x + 2

Answer

13x - 2

Answer

7x + 14

Question 10

8 + 5(x - 2)

Accepted Answer

5x - 2

Answer

5x - 6

Answer

5x + 6

Answer

5x + 2

Question 11

Which expression is equivalent to 6b + 3(a+b)?

Accepted Answer

3a + 9b

Answer

3a (7b)

Answer

9b + (a+b)

Answer

3a + 6b

Question 12

Simplify using the distributive property.

-4(k - 7)

Accepted Answer

-4k + 28

Answer

-4k - 28

Answer

4k + 28

Answer

4k - 28

Question 13

Simplify by combining like terms:
5a + 2b - 3a + 4

Accepted Answer

2a + 2b + 4

Answer

8a + 2b + 4

Answer

8ab

Answer

4ab + 4

Question 14

-(4x - 3) + 2(x + 5)

Accepted Answer

-2x + 13

Answer

-2x + 7

Answer

2x - 13

Answer

-2x - 7

Question 15

Use the distributive property to find an equivalent expression: 5(2f + 4)

Accepted Answer

10f + 20

Answer

10f + 4

Answer

10f + 9

Answer

30f

Question 16

Garrick buys 5 loaves of bread and 8 cans of tuna for a picnic. Tanya buys a loaf of bread and 2 cans of tuna. If b represents the cost of a loaf of bread and t represents the cost of a can of tuna, which algebraic expression represents the total cost?

Accepted Answer

6b + 10t

Answer

10b + 6t

Answer

5b + 10t

Answer

6b - 10t

Question 17

For the summer, Fred buys 3 T-Shirts and 2 pair of shorts. His brother buys 4 T-shirt and a pair of shorts. If t represents the cost of a T-shirt and s represents the cost of a pair of shorts, which algebraic expression represents the total cost?

Accepted Answer

7t + 3s

Answer

3t + 7s

Answer

7t + 2s

Answer

10st

Question 18

On a shopping trip, Kalia buys 3 barrettes and a headband. Her sister buys 2 barrettes and 2 headbands. If b represents the cost of a barrette and h represents the cost of a headband, which algebraic expressions represents the total cost?

Accepted Answer

5b + 3h

Answer

3b + 5h

Answer

5b + 2h

Answer

8bh

Question 19

One day, Sean buys 3 notebooks, 4 markers, and a ruler at the school bookstore. The next day, he buys another notebook and 3 more markers. Let n = the cost of a notebook, m = the cost of a marker, and r = cost of a ruler. Which expression represents the total cost?

Accepted Answer

4n + 7m + r

Answer

3n + 7m + r

Answer

3n + 7m + r + n

Answer

4n + 7m +1

Algebraic Expressions and Distributive Property

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