Selective Test Mathematical Reasoning 2

Question 1

Solve for x: 2x + 7 = 19

Accepted Answer

6

Answer

Subtracting 7 from both sides gives 2x = 12, so x = 6.

Question 2

Which expression is equivalent to 3(x + 4) − 2(x − 1)?

Accepted Answer

x + 14

Answer

Expanding: 3x + 12 − 2x + 2 = x + 14.

Question 3

The ratio of boys to girls in a class is 3:5 and there are 40 students total. How many boys are there?

Accepted Answer

15

Answer

Boys = 3/(3+5) × 40 = 3/8 × 40 = 15.

Question 4

What is the next term in the sequence: 2, 6, 18, 54, ___?

Accepted Answer

162

Answer

Each term is multiplied by 3; 54 × 3 = 162.

Question 5

A shirt originally costs $45 and is discounted by 20%. What is the sale price?

Accepted Answer

$36

Answer

Discount = 20% × $45 = $9; sale price = $45 − $9 = $36.

(Selective Test) Selective High School Placement Test Practice Test