Download Math 7 - Quarter 2 Study Guide

Name: _________________________
Block:________________
Teacher(s): ______________________
Math 7 - Quarter 2 Study Guide - Section 2 (Calculators allowed)
Which of the following best describes this statement?
____
1. 7z + 9 = 21
a. Expression
b. Equation
c. Inequality
d. Numerical Expression
2. x + 8
a. Expression
b. Equation
c. Inequality
d. Numerical Expression
3. 6x > 9
a. Expression
b. Equation
c. Inequality
d. Numerical Expression
4.
Jack was interrupted while trying to write an inequality. Finish the problem for him.
-2y + 68
a) =6
_____
b) <6
c) + 6
d) ÷ 6
Use the following to answer the questions below:
x + 4z – z + 7m -2
5.
How many terms are in the expression: ______________________
6.
List the variables in the expression: ___________________
7.
List the constant(s): _________________________
8.
List the coefficient(s) in the expression: __________________________
Name the property shown by each statement.
Commutative Property Addition (CPA)
Additive Identity (AId)
Distributive Property (DP)
Multiplicative Property of Zero (MPZ)
Associative Property of Multiplication (APM)
Associative Property of Addition (APA)
Commutative Property of Multiplication (CPM)
Additive Inverse (AIn)
9.
2(b + 5) = 2b + 10
______________
10.
55 · 0 = 0
_____________
11.
7·(2·3)=(7·2)·3
_____________
12.
2x + 0 = 2x
_____________
13.
4 + (31 + 17) = (31 + 4) + 17 ___________
14. Fill in the table writing each number as a decimal, percent or as a fraction in simplest form. Use bar
notation if the decimal is a repeating decimal.
Fraction
Decimal
Percent
36%
0.85
18%
For #15-16, Order each set of numbers from least to greatest.
15.
, 9% , 8.2
, 0.8
17. Express
19.
16.
in standard form.
Express 0.00006023 in scientific notation.
, 33%, 0. ,
6.37 x
18.
Express
in standard form.
20.
Express 35,900 in scientific notation.
21.
Write the fraction as an expression using a negative exponent other than –1.
22.
Write the fraction as an expression using a negative exponent other than –1.
23. The table shows the mass in kilograms of four planets. Rank the planets in order from lightest
to heaviest.
Mass of planets
Planets
Uranus
Mars
Mercury
Saturn
Mass
kg
kg
kg
kg
24. What is 14 squared?
For #25-27, find the square root, if possible.
25.
26.
27.
28. Cara has 169 cubes that she is using to make a square formation. How many cubes should be in
each row?
Name all of the sets of numbers to which each real number belongs. Let N=Natural numbers, W = whole
numbers, Z = integers, Q = rational numbers, I = irrational numbers, and R = real numbers:
29.
-4.259995….
30.
0.
31.
32.
33.
0
Evaluate.
34.
4 [(45 - 3) ÷ 2]
35.
9(2) + (11 + 12 ÷ 2)
Evaluate each expression if x = 14, y = -5, and z = 6.
36.
37.
x + (-4z + 2y)
Translate the verbal sentence into an equation.
38. The quotient of a number and 8 is three.
39. Four less than twice a number equals twenty.
Translate each numerical expression into words.
40.
+4
41.
6y - 7
State whether the sequence is: arithmetic or geometric, then: state the common difference or
common ratio: (Example: n + 2), then: Find the missing term.
42. 3, –6, 12, –24, ... ______________
________________ what is the 5th term? _____________
43. 44, 32, 20, 8, ... _______________
_______________ what is the 7th term? _____________
44. –8, –4, –2, –1, ... ______________
_______________ what is the next term? _____________
Solve each equation. Check your solution.
45.
48.
46.
b – 18 = 40
q + 5 = -20
49.
-9b = 63
-39 = –4 – 5d
47. -11 =
50.
- 4 = -36
Solve each problem by writing and solving an equation.
51. Mrs. Fortin purchased movie tickets for herself and two other teachers. The cost was $24. Write
and solve an equation to find out how much each ticket cost.
52. Ms. McCormick went to the store and bought a $30 pair of pants. She bought $15 belts to go
along with her pants. Her total was $105. Find the number of belts Ms. McCormick purchased.
Write the inequality for the graph.
53.
–40
–30
–20
–10
0
10
20
30
40
Solve the inequality. Graph the solution on a number line.
54.
4f > –28
55.
11 < h + 8
56.
4