Algebraic Expressions and Inequalities

Simplify: 
3+2c-4c-9+11c

• -9c+6
• 12+3c
• 9c-6
• -12-3c

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

• 8 - 4m
• 8m - 4
• 8m + 4
• 4m - 8

Which verbal expression matches this algebraic expression?
6 (x + 5)

• Six times X increased by five
• Six times the sum of a number and five
• The quotient of six and a number increased by five
• Five more a number times six

Simplify by distributing and combining like terms:
2(3x-4+2x)+3(4x-3)

• 6x-8+4x
• 22x-17
• 22x-8-9
• 10x-8

Simplify by distributing and combining like terms:
¼(8x-12)+⅕(10x-20)

• 4x-7
• 4x+1
• 18x-32
• 13x+20

Which algebraic equation matches this verbal equation? 
2 times the difference of a number x and 3 is 15

• 2x-3=15
• 2(x+3)=15
• 2(x/3)=15
• 2(x-3)=15

Which algebraic inequality matches this verbal inequality?
The product of a number n and 7 is at least 11.

• 7n ≤ 11
• 7n ≥ 11
• 7/n ≥ 11
• 7/n ≤ 11

When solving 3x+2=14, what is the first step?

• add 2
• subtract 2
• divide by 3
• divide by 2

When solving the equation 4x=12, what is the first step?

• divide by 4
• multiply by 4
• subtract 4
• add 12

Solve the equation
-8x-8+3(x-2)= -3x+2

• x = -8
• x = 8
• x = 2
• x = -2