KYOTE Algebraic Reasoning

Question 1

What is the value of x in 3x + 7 = 22?

Accepted Answer

5

Answer

Subtract 7 from both sides: 3x = 15. Divide by 3: x = 5.

Question 2

Which property states that a(b + c) = ab + ac?

Accepted Answer

Distributive property

Answer

The distributive property allows you to multiply a single term across terms inside parentheses.

Question 3

What is the area of a triangle with base 10 and height 6?

Accepted Answer

30 square units

Answer

Area = ½ × base × height = ½ × 10 × 6 = 30 square units.

Question 4

What is the slope of a line passing through (2,3) and (4,7)?

Accepted Answer

2

Answer

Slope = (y2-y1)/(x2-x1) = (7-3)/(4-2) = 4/2 = 2.

Question 5

What is 15% of 200?

Accepted Answer

30

Answer

15% of 200 = 0.15 × 200 = 30.

(KYOTE) Kentucky Online Testing Practice Test