Download Name: Test Date: Math 7 - Quarter 3 Study Guide

Name: _________________________
Test Date: __________________________________
Math 7 - Quarter 3 Study Guide - Section 2 (Calculators allowed)
Use the word bank to best describe each statement:
Expression
Inequality
Variable
Numerical Expression
Equation
Constant
Term
Coefficient
1.
7z + 9 = 21
______________
4. x + 9
2.
the “b” in 4b – 8 = 19 _____________
5. the “2” in 2h + 6
3.
6x > 9
6. the “–3m” in 8f – 3m = 4 ________________
___________________
_______________
________________
Use the following to answer the questions below: x + 4z – 3z + 7m – 2
7. List the terms in the expression: ________
8. List the variables in the expression: __________
9. List the constant(s): __________________
10. List the coefficient(s): ____________
The costs of different sizes of orange juice are shown in the table. Which container costs the least per ounce?
Amount
Total Cost
16 oz
$1.28
32 oz
$1.92
11. Which is the best deal? _______
Cost per ounce (Unit cost)
Why? ____________________
___________________________
12. 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%
7
8
0.85
18%
Order each set of numbers from least to greatest.
13.
8
9
, 9% , 8.2× 10−1 , 0.8
3.3 × 102 ,
14.
4
6
̅
, 33%, 0. 3
15. Express 2.07 x 10 5 in standard form.
16. Express 0.0000901 in scientific notation.
17. Express 6.37 x 10 – 4 in standard form.
18. Express 35,900 in scientific notation.
19.
What is 12 squared?
20.
–√ 81
21.
√169
22.
√−49
23. Cara has 196 cubes that she is using to make a
square formation. How many cubes should be in
each row?
24. A square plate has an area of 121 in2. How long
is one side of the plate?
Evaluate.
25.
4 [(45 – 3) ÷ 2]
26.
9(2)
3
Evaluate each expression if x = 10, y = –4, and z = 6.
27.
𝑦 2 +2
−𝑧
28. x + 2yz
+ (11 + 12 ÷ 2)
Translate the verbal sentence into an equation.
29. The product of 6 and a number is thirty.
30. Three more than twice a number is ten.
Translate each numerical expression into words.
31.
x
7
–5
32. –4(y + 9)
State whether the sequence is: arithmetic or geometric, then: state the common difference or common ratio,
rule(Example: n + 2), then: Find the missing term.
#
Sequence
What kind?
Common diff/ratio
The rule is…
What is…
the
5th
33
–256, –64, –16, –4, ...
term?
34
50, 44, 38, 32, ...
the 7th term?
35
1, –2, 4, –8, ...
the 6th term?
Solve each equation. Check your solution.
36. b – 12 = 42
37. –3b = 63
38. –8 =
39. w + 4 = –25
40. 24 = –2f + 4
41.
f
8
𝑧
8
– 9 = –16
Solve each problem by writing and solving an equation.
42. Chris scored three times as many points as Jack. If Chris scored 21 points, how many points did Jack score?
Let x = ______________________________
Equation: ____________________________
43. You buy 4 packs of gum and a sticker for a total of $8.50. If the sticker costs $0.50, how much did each
pack of gum cost?
Let x = ______________________________
Equation: ____________________________
Write the inequality
44.
45.
–40
–30
–20
–10
0
10
20
30
You should have at least $10.
40
____________________
__________________
Solve the inequality. Graph the solution on a number line.
46. 4f > –28
47. 11 < h + 8
48.
49. –3m ≤ 15
50. –13 > p – 2
51.
52) Translate the figure below horizontally –3 units and 2 units vertically.
What are the new coordinates of vertices D’, B’, and C’?
y
D’ ________________
B
B’ _________________
C
x
D
A
C’ _________________
z
-8
ℎ
2
≥4
≤ –5
Write whether each transformation is a translation, rotation, reflection, or dilation.
53)
54)
55)
y
5
y
C
4
y
B
7
3
C
A'
6
72)
5
B
A
4
A
B
C'
A
2
B'
–8
–7
–6
–5
–4
–3
–2
–1
–1
–2
–5
x
1
A'
–9
1
2
3
4
5
6
7
8
9
–4
–3
–2
–1
–1
D'
x
B'
C
–3
B'
C'
2
1
D
3
A'
1
2
3
4
–2
–3
C'
–4
–4
–5
–5
–6
–7
53) __________________
54) __________________
55) __________________
56) If the figure shown below is rotated 90° counterclockwise about the origin, what are the coordinates of the
vertices?
y
B
C
A’ ________ B’ _________
C’ ________
A
x
Original Vertices
57) A pentagon has the following vertices: A (-4, 1), B (-2, 1), C (-12, 6),
D (-6, -4), and E (-10, -1). Give the coordinates of the new vertices
𝟏
of this hexagon if it has a dilation with a scale factor of 𝟐.
A
B
C
D
E
58) Quadrilateral KLMN has vertices K (-3, -4), L (-1, -2), M (0, -3), and N (-2, -5). Graph
the quadrilateral and its image after a reflection over the x-axis.
Original Vertices
Reflected Vertices
Dilated Vertices
5
x