Wednesday, October 12, 2011

Review worksheet

Every student received this review worksheet in class. If they feel comfortable with these questions, they should feel good going into the test. The test is NOT multiple choice, which means they will need to show their work. They CAN, however, receive partial credit for problems if they do the correct steps and do not come up with the correct answer.

***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