Q 01/05

Which property lets you compute 7 × 98 as 7 × 100 minus 7 × 2?

A) Associative

B) Distributive

C) Identity

D) Inverse

Answer · why

B) Distributive

Distributive is the property: multiplying spreads across a bracket, a(b − c) = ab − ac, the trick behind mental arithmetic like 7 × 98 = 700 − 14 = 68...

Q 02/05

What is (−8) × (−6), the product of two negative numbers?

A) Negative 48

B) Negative 14

C) Positive 14

D) Positive 48

Answer · why

D) Positive 48

Positive 48, because each minus sign reverses direction on the number line and two reversals cancel, just as losing eight debts of 6 leaves you 48 bet...

Q 03/05

What is the longest side of a right triangle with shorter sides 5 and 12, a classic whole-number triple?

A) 13

B) 30

C) 60

D) 169

Answer · why

A) 13

13 completes the 5-12-13 triple, since 5² + 12² = 169 and the square root of 169 is 13; stopping at 169 forgets the root and gives a side longer than ...

Q 04/05

What is 7⁰, the value every nonzero number takes when raised to the power zero?

A) 0

B) 1

C) 7

D) 49

Answer · why

B) 1

1 is the value of 7⁰ because each drop of one in the exponent divides by 7: 7² = 49, 7¹ = 7, and 7 ÷ 7 = 1.

Q 05/05

What is 30% of 70, the discount on a $70 jacket in a sale that takes 30 percent off?

A) $2.10

B) $21

C) $49

D) $100

Answer · why

B) $21

$21 comes from 0.30 × 70; the sale price is then $49, which is 70% of the original, so multiplying by 0.7 gets there in one step.