Download Review for Test on Chapters 1 and 2

Review for Chapters 1 and 2
1) Evaluate: 24  9(2)  6  3
2) Evaluate when m = 3: 2m 3  6
3) Evaluate when j = 4:

(a)
4j
j 6
(b) 3( j  8)  8
2
3
4) Evaluate when
g = 2: 22  8g  g
5) Millennium Park in Chicago is in the shape of a square and covers an area of 4000 square

feet.

Find the length
 of a side of the park.
6) Write a variable expression for: “Eight times the difference of d and 2.”
7) Write a variable expression for: “Twice a number f less than 9.”
8) Write an equation or inequality for: “Eighteen is less than a number r squared.”
9) Name all of the number sets to which the numbers belongs. (whole number, integer, rational,
and irrational.)
(a) -9
(b) 20.42
(c) 97
(d) 19
10) Use the distributive property to write an equivalent expression:
(a) (-3n + 7)3
(b) -9x(x – 2)
(c) 7(t + 1) – 5(t + 1)

11) A 150 gram bag of chocolate chips costs $2.12 at Fry’s. A 305 gram bag of chocolate
chips costs $3.72. Find the price per gram. Which size bag costs less per gram?
12) Simplify:
(a) 9
(b) 16
(c) 100
(d) 64
13) Estimate the square root to the nearest integer.
(a) 80
(b) 24
(c) 6

14) Is 8 a solution
of
8 is a solution.

4x  5  27? First, solve the inequality.
Then, explain why or why not
 4 
16

 
15) Find the quotient. (a)
 7 


5  4 

  
(b)
9  3 

16) Identify the terms, like terms, coefficients, and the constant terms of the expressions.
(a) 7x – 3 + 4x2 + 8 – x
(b) 6g – 9 + 11g – 6 – 7g
2
17) The -9 in the expression 6x + 7x – 9 is called a ____________________ . (coefficient or constant)


18) ____________________ refers to division when translating verbal phrases to algebraic
expressions. (quantity or quotient)
19) -14.8765… is an example of a(n) _________________________ number. (rational or irrational)
20) When following order of operations, you must simplify the __________________________ first.
21) 2(4 + 9) – 16 is an example of a __________________ expression; while 4(m + 9) – 23 is an
example of an _____________________ _________________________ .
22) You work with 3 other people at The Sweet Shoppe downtown Flagstaff. All the workers put their tips
into the same jar and share the amount in the jar equally at the end of the day. At the close of Labor Day,
there were $23 dollars in the tip jar. Find each person’s share of the tip money.