Algebraic Thinking

Maria wrote these factor pairs for a number:

1 and 20, 2 and 10, 4 and 5

For which number did Maria write these factor pairs?

• 17

• 20

• 29

• 11

After spending $70 from her bank account, Janice had a total of $126 left.

Which number sentence could be used to find a, the amount of money Janice had in her account before she spent $70?

• 126 – 70 = a

• 126 + a = 70

• 70 – a = 126

• a – 70 = 126

Dominic started with $25. He worked for 7 hours and earned $9 per hour.

Which expression represents the amount of money Dominic had after he worked for 7 hours?

• 7 x ($16 + $9)

• (7 x $25) – $9

• ($25 – $9) x 7

• $25 + (7 x $9)

Abby bought 140 beads to make jewelry to sell at the school store.

On Saturday she used 3 packets of 14 beads and 4 packets of 12 beads.

Which expression represents the number of beads she had left after Saturday?

• 140 – [(3 x 14) + (4 x 12)]

• [140 – (3 x 14)] + (4 x 12)

• 140 – [(3 + 4) x (14 + 12)]

• 140 – (3 x 14 + [4 x 12])

Dante simplified a numerical expression. The correct value of the expression is 6. Which could be the expression Dante simplified?

• (12 – 8) x 9

• 9 + (12 – 8)

• 12 ÷ (9 – 8)

• (8 x 9) ÷ 12

Yuliana needs to simplify the expression 6 x (12 – 8) + 7.

What should be her first step?

• Multiply 6 by 12.

• Multiply 6 by 7.

• Add 8 to 7.

• Subtract 8 from 12.

Which statement is true?

• The number 11 is composite.

• The number 11 is prime.

• The number 11 is neither prime nor composite.

• The number 11 is divisible by 3.

An equation is shown below.

21 – g = 8 x 2

What is the value of g in the equation?

• 15

• 5

• 37

• 13

Ezequiel had $29 to spend at the mall.

He spent $4 on a pair of socks and $16 on a new shirt.

Which expression represents the amount of money Ezequiel had left?

• $29 – ($16 – $4)

• $29 – ($16 + $4)

• ($16 + $4) – $29

• ($16 – $4) + $29