Math Chapter 8 - 9 Quiz

Evaluating Algebric Expressions

100

Evaluate 3x+2 when x=4

3 (4) + 2 = 14

200

Evaluate 5y - 7 when y = 3

5 (3) - 7 = 8

300

Evaluate 2a² + b when a = 2 and b = 5

2 (2)² + 5 = 13

400

Evaluate (6x)/y when x = 9 and y = 3

6(9) / 3 = 54 / 3 = 18

500

Evaluate x³ - 2y² + z when x = 2, y = 3, z = 4

8 - 2(9) + 4 = -6

Simplifying Algebric Expressions

100

Simplify 3x + 2x

5x

200

Simplify 4y + 2y - y

5y

300

Simplify 5m + 7n - 2m - 4n - 3m

3n

400

Simplify 2(3x + 4) + 5x

11x + 8

500

Simplify 3(x+2) - 2(x-4)

x + 14

Equations

100

Solve 3a - 7 = 8

a = 5

200

Solve (3x / 4) = 6

x = 8

300

Solve 5m + 2 = 17

m = 3

400

Solve 6a - 8 = 4a

a = 4

500

Solve (2x)/5 + x/10 = 2

x = 4

Inequalities

100

Solve p + 5 > 7

p > 2

200

Solve 3x - 7 < 5

x < 4

300

Solve 7a < 2a + 5

a < 1

400

Solve 5x/3 > 10

x > 6

500

Solve 7 - 3x < x - 1

x > 2

Word Problems (700 points each)

100

A rectangular park has a length of 3x+2 meters and a width of x−4 meters. If x=8, what is the area of the park in square meters?

104 square meters

200

The sum of three consecutive integers is 54. Represent the integers as x, x+1, x+2. What are the three integers?

17, 18 and 19

300

A store sells apples for $2 each and oranges for $3 each. You have $20 to spend. Write and solve an inequality to determine the maximum number of apples x you can buy if you also buy 4 oranges.

x <= 4.

400

A triangle’s area is given by 1/2×b×h, where b=2x−3b meters and h=x+6 meters. If x=6, what is the area of the triangle? State units as well.

54 square meters

500

A father is 4 times as old as his son. In 10 years, the father will be 2 times as old as his son. How old are the father and son now?

Son is 5 years old. Father is 20 years old.