Download x + 4z – z + 7m – 2

Name: _________________________
Block:________________
Teacher(s): ______________________
Math 7 - Quarter 2 Study Guide - Section 2 (Calculators allowed)
Which of the following best describes this statement?
WORD BANK: Expression, Equation, Inequality, Numerical Expression
1.
7z + 9 = 21
___________
2.
x+8
Use the following to answer the questions below:
______________
3.
6x > 9 _______________
x + 4z – z + 7m – 2
4.
How many terms are in the expression? _____
5.
List the variables: _____________________
6.
List the constant(s): ______________________
7.
List the coefficient(s): ___________________
Name the property shown by each statement.
8.
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)
2(b + 5) = 2b + 10 ______________________
11.
9.
55 · 0 = 0
10.
7 · ( 2 · 3 ) = ( 7 · 2 ) · 3 ___________________
2x + 0 = 2x __________________________
__________________________
12. 4 + (3 + 17) = (3 + 4) + 17 _______________
13. 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
66.6%
For #14-15, Order each set of numbers from least to greatest.
14.
, 9% , 8.2
, 0.8
15.
, 33%, 0. ,
6.37 x
16.
Express
in standard form.
17.
Express
18.
Express 0.00006023 in scientific notation.
19.
Express 35,900 in scientific notation.
20.
in standard form.
Write the fraction as an expression using a negative exponent.
21. 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
22.
Mass
kg
kg
kg
kg
What is 14 squared?
For #25-27, find the square root, if possible.
23.
24.
25.
26. Cara has 169 cubes that she is using to make a square formation. How many cubes should be in each row?
27. Write an equation and find the value of the cone from the picture.
3
15
Evaluate.
27.
4 [(45 – 3) ÷ 2]
28.
9(2) + (4³ + 12 ÷ 2)
Evaluate each expression if x = 14, y = –5, and z = 6.
29.
30.
x + (–4z + 2y)
Translate the verbal sentence into an equation.
31.
The quotient of a number and 8 is three.
32. Four less than twice a number equals twenty.
Translate each numerical expression into words.
33.
34.
+ 4 ___________________________________________________________________________
6(y – 7)
_______________________________________________________________________
State whether the sequence is: arithmetic or geometric,
then write an expression for the rule (example: n + 2), then find the missing term.
______________ what is the 5th term? _____________
35.
3, –6, 12, –24, ... ________________
36.
4.4, 3.3, 2.2, 1.1, ... _______________
____________ what is the 7th term? _____________
37.
–8, –4, –2, –1, ... _________________
____________ what is the next term? _____________
38. The common ______________
of the sequence 3, 7, 11, 15, …
is 4.
Solve each equation. Check your solution.
39.
b–
=
40.
–9b = 63
41.
–11 =
42.
q + 5 = –20
43.
–39 = –4 – 5d
44.
– 4 = –36
45. Break apart 72 to apply the Distributive Property. Show your work. Calculate the answer.
3 • 72
=
_____________________________________
Solve each problem by writing and solving an equation.
46.
Mrs. Gordon 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.
Let ___ = __________________________
47. Ms. McCormick went to the store and bought a pair of pants for $30. She bought some $15 belts to go
along with her pants. Her total was $105. Find the number of belts Ms. McCormick purchased.
Let ____ = _________________________
Write the inequality for the graph.
47.
–40
–30
–20
–10
0
10
20
30
40
Solve the inequality. Graph the solution on a number line.
48.
4f > –28
49.
11 < h + 8
50.
4