# Mathematics (Algebra)

b. x=11

6x - 10 = 4(x + 3). Solve for x. a. x=12 b. x=11 c. x=9 d. x=10

b. 500-x

A father gave $500 to his two sons. He gave X dollars to one son. Which of the following expressions correctly shows the amount he gave to the other. a. 500xX b. 500-x c. 500+X d. 500÷X

d. 400,000

Express this expression into decimal 4 x 10⁵ a. 250,000 b. 200,000 c. 300,000 d. 400,000

b. 1.2345x10⁻³

Express this expression into scientific notation 0.0012345 a. 1.2345x10⁻⁶ b. 1.2345x10⁻³ c. 1.2345x10⁻⁴ d. 1.2345x10⁻⁵

a. 8

Find x: 3x+42=2(3x+9) a. 8 b. 4 c. 5 d. 3

d. 3

Find x: x + 9 = 18 - 2x a. 2 b. 1 c. 4 d. 3

b. 7

Given f(x)=5x-4, find the value of x if f(x)=31 a. -7 b. 7 c. 27/5 d. 151

b. 35

If X equals 5, what is the value of 6X + 2X - X? a. 30 b. 35 c. 25 d. 40

a. 2N

Irene is N years old. If Tom is twice as old, which of the following algebraic statements shows his age now? a. 2N b. 2N+X c. N-2 d. 2-N

a. 2X+6

Simplify (2x2 + 2x - 12) / (x - 2) a. 2X+6 b. 2X+ c. 4X+12

c. -192a¹⁷b¹¹

Simplify: (-3a²b²)(4a⁵b³)³ a. -12a¹⁷b¹¹ b. -12a⁸b⁵ c. -192a¹⁷b¹¹ d. -192a⁸b⁵

c. 4

Solve X where 5X = 20. a. 15 b. 10 c. 4 d. 5

b. x=11

Solve for x: 2(x+7)-3(2x-4)=-18 a. x=-5 b. x=11 c. x=5 d. x=-11

c. 1

Solve for x: 5x + 4x + 7 = x + 15 a. 2 b. 4 c. 1 d. 3

a. 12>x

Solve the following inequality: -20<4-2x a. 12>x b. 8 c. 12 d. 8>x

b. 150 feet

The ratio of the height of two buildings is 7 to 5. The first building is 210 feet tall. How tall is the second building? a. 145 feet b. 150 feet c. 140 feet d. 160 feet

a. 75 in²

The length of a rectangle is 3 times its width. If the width of the rectangle is 5 inches, what is the rectangle's area, in square inches? a. 75 in² b. 70 in² c. 50 in² d. 65 in²

b. x-12=-4

Which is not a related fact of the equation: x-4=-12 a. 12+x=4 b. x-12=-4 c. x=-12+4 d. x+12=4

b. Arrows

Which of the following is not a grouping symbol? a. Parentheses b. Arrows c. Bar d. Braces

c. 3x²-14x-8

Which polynomial cannot be factored? a. 3x²-14x+8 b. 3x²+10x-8 c. 3x²-14x-8 d. 3x²-10x-8