Unit 6 Study Guide - Expressions, Equations, Inequalities

 $5^2-7\left(5-1+3\right)$  Simplify:

 $6\left|-4+3\right|+8\div2$  Simplify:

Choose the inequalilty that says: 16 subtracted from a number is more than 15

• 16 - n > 15

• n - 16 > 15

• n - 16 ≥ 15

• n - 16 < 15

Which expression bests represents "the difference of 6 and half a number"?

•  $6-\frac{1}{2}x$  

•  $\frac{1}{2}x-6$  

• 2x-6

• 6-2x

Ms. Sisson is grocery shopping and has a budget of $50. She is buying eggs which are $6 per pack and her other groceries cost her $32. How many packs of eggs can she buy to stay in her budget? Is this and equation or inequality? Write the algebraic problem and solve, using "p" as your variable.

• Equation

  6p + 50 = 32

  p = 3

• Inequality

  6p + 32 > 50

  p ≥ 3

• Inequality

  32 + 6p ≤ 50

  p ≤ 3

• Equation

  32 + 6p = 50

  p = 3

Select all the phrases that could represent the following expression: 2x+10

• Double a number and ten

• The difference between twice a number and ten

• Twice a number plus 10

• Double the sum of a number and ten

• Two times a number increased by ten

 $-3v-b^2+bv$   Simplify the expression when b = -3 and v =  $\frac{2}{3}$  

 $\frac{1}{2}\left(4r^2-2r\right)$  

Which number could replace the variable to make the expression equivalent to 6?

• -2

• -1

• 1

• 2

Beatrice has 18 pencils. Beatrice has 2 more than 4 times the number of pencils Rick has. Exactly how many pencils does Rick have?

• 11 pencils

• 7 pencils

• 5 pencils

• 4 pencils

 $\frac{d}{3}+8=12$  

Which phrase best represents the equation?

• Eight more than the quotient of a number, d, and three is twelve.

• Eight more than the difference of a number, d, and three is twelve.

• The quotient of eight more than a number, d, and three is twelve.

• The difference of eight more than a number, d, and three is twelve.