7th grade algebra

Question 1

Expand: 3(x + 5)

Answer 

Question 2

Which value of x satisfies 3(x + 3) < 6?

• A. 2
• B. −1
• C. −3
• D. 0

Question 3

A rectangle is 3 cm wide and (2x + 3) cm long. Write and simplify an expression for its perimeter in cm, using brackets first: 2(3 + 2x + 3).

Answer 

Question 4

Solve: (x − 7) / 2 = 6

x = 

Question 5

What is the smallest whole number x that satisfies 7x + 4 > 54?

Answer 

Question 6

Factorise fully: 4xy + 8x

• A. 4(xy + 2x)
• B. 4y(x + 2)
• C. 4x(y + 2)
• D. x(4y + 8)

Question 7

Solve: 7x + 8 < −34

Answer 

Question 8

Hana has $102 saved and adds $23 each week. After how many weeks will Hana have $171?

Answer 

Question 9

Solve: −7x < 14

Answer 

Question 10

Factorise −4x − 4 by taking out a negative common factor.

• A. 4(x + 1)
• B. −4(x − 1)
• C. −4(x + 4)
• D. −4(x + 1)

Question 11

Expand −9(x − 7).

Answer 

Question 12

Solve: 2x + 6 = −6

x = 

Question 13

A rectangular dog run is 6 m wide. Its perimeter is 56 m. Use 2L + 12 = 56 to find its length L, in m.

Answer 

Question 14

Solve: x/2 − 5 = −10

x = 

Question 15

Expand −(3x − 3).

Answer 

Question 16

Solve: 6x + 2 = −34

x =