***I have included the answers to the test review so they can check their answers at home***
Unit 2 test Review
Define each term
Simplify – to make a big expression smaller by combining like terms and doing order of operations
Evaluate – substitute a given number value for a variable in an expression
Solve – find the value of a variable in an equation
Expression – a math phrase containing numbers, variables, or operations (+, -, x, or ÷)
Equation – A math sentence containing two equivalent expressions
< less than
> greater than
≤ less than or equal to
≥ greater than or equal to
Combine like terms and simplify
34x + 12x + 10 – 4 2x2 + 5x2 + 2x – x 3 (k + 4) + 7 (2 + k)
Answer: 46x + 6 Answer: 7x2 +x Answer: 10k + 26
Evaluate each expression
20m + 12 for m = 5 3k – 6 for k = 7 h ÷ 5 + 10 for h = 25
Answer: 112 answer: 15 answer: 15
Determine if the following values are solutions
3f + 15 = 30 if f = 5 39 – 5t = 13 if t = 6 4r + 3r = 22 if r = 1
Yes No No
Write expressions from the given phrases
The product of 27 and the variable m 14 less than the variable p
Answer: 27m answer: p – 14
A coefficient of 4, a variable of x, plus the number 18 12 less than two x
Answer: 4x + 18 2x – 12
Write the following expressions as a phrase in words
10x – 4 4k ÷ 8
Four less than the product of ten and x the quotient of four k, divided by eight
Solve each equation. Show your work
12x = 132 x – 13 = 20 53 + x = 60 k / 3 = 14
answer: x = 11 answer: x = 33 answer: x = 7 answer: x = 42
Word Problem
Kevin ordered pizzas for a pizza party for his class. Each pizza had 8 slices. There were a total of 80 slices of pizza. Write an equation to show the total number of pizzas Kevin ordered (use “p” as your variable), and then solve.
Answer:
8p = 80
p = 10
Graph the following inequalities on a number line
X > 35 x ≤ 12 x < 98
Solve each inequality, then graph on a number line
5k ≤ 25 x – 7 > 24 64 + x < 72
Answer: k ≤ 5 Answer: x > 31 Answer: x < 8
X / 3 ≤ 4 x / 5 > 2 3d < 21
Answer: x ≤ 12 Answer: x >10 Answer: d < 7