Download Math 8 Semester 1 Review Guide #2 (2014

Math 8
Semester 1 Review Guide #2
(2014-2015)
Name: ______________________
Unit 1: Number Sense
1.
2.
____
Write
as a decimal.
A
3.249
C
3.25
B
3.15
D
3.24
Write the decimal as a mixed number or fraction in simplest form.
2. 0.
A
B
3.
3
17
4
1
5
C
D
Is the number -125.45 a rational number? Explain.
A
Yes, it is a repeating decimal.
B
Yes, it is a terminating decimal.
C
No, negative numbers are not rational.
D
No, the number goes on infinitely.
2
11
9
50
4.
Match5.
____
Compare. Write <, >, or =.
A
<
B
>
C
=
1
3
8
4
Order the set of numbers from least to greatest.
4. –2.7, –3.6,
A
2
,
7
B
6.
−
−
9
25
,
25
9
2
7
, –2.7, –3.6
–3.6, –2.7,
−
9
25
,
2
C
D
7
−
−
9
,
2
, –2.7, –3.6
25 7
9
, –3.6, –2.7,
25
What is the side length of a square whose area is 50 square inches?
A
12.5 in
C
√50 in
B
25 in
D
225 in
2
7
7.
8.
If the volume of a cube is 1331 cubic centimeters, about how long is each of the edges of
the cube?
A
11 cm
C
665.5 cm
B
-11 cm
D
444 cm
Graph the following value on the number line: √3 What is its decimal equivalent?
-5
9.
-4
-3
-2
-1
0
1
2
A
1.5
C
1.3
B
1.73
D
3
3
4
5
What makes a number an irrational number?
A
It can be written as a repeating decimal.
B
It cannot be written as a fraction, , where a and b are integers and b does not
𝑎
𝑏
equal zero.
C
Its square root is an integer.
D
It cannot be graphed on a number line.
10.
11.
12.
13.
Which set contains only rational numbers?
A
-1, 125.2, √50
C
− √81, √100 , 9.87
B
√31, -0.67, 43
D
√75 , -3.245, -0.454545…
Between which two integers does √34 lie?
A
3 and 4
C
5 and 6
B
4 and 5
D
6 and 7
Evaluate √625
A
312.5
C
25
B
125
D
208
What is the best estimate of the value of √120 ?
A
10
C
60
B
11
D
80
14.
15.
16.
Tommy wants to build a square fence border around his skate park. If the skate park
covers an area of 361 square meters, what is the length of each side of the park?
A
19 meters
C
180.5 meters
B
90 meters
D
722 meters
What is the value of
3
√4096?
A
14
C
1366
B
16
D
2048
The value of
3
√205 lies between which of the following pairs of numbers?
A
102 and 103
C
3 and 4
B
60 and 61
D
5 and 6
Unit 2: Exponents and Scientific Notation
17.
Simplify this expression using a single exponent.
75 ∙ 76
18.
A
4930
C
4911
B
730
D
711
Simplify this expression using a single exponent.
28
27
19.
A
21
C
256
B
28÷7
D
215
Simplify this expression.
(−1)0
A
0
C
−1
B
1
D
−0
20.
Simplify this expression using a single exponent.
82 ∙ 85
83
21.
A
87
C
84
B
810
D
14
Simplify this expression using a positive exponent.
(14)−4
A
B
22.
1
144
−56
C
D
1
14
1
14−4
Write the number in standard notation.
5.42 × 105
23.
A
5,420,000
C
54,200
B
542,000
D
54,200,000
Write the number in standard notation.
A cell has an approximate diameter of 3.656 × 10−5 millimeters.
A
0.0003656
C
0.000003656
B
0.0000003656
D
0.00003656
24.
Write the number in scientific notation.
26,050
25.
A
2.605 × 104
C
2.605 × 103
B
26.05 × 103
D
2.605 × 105
Write the number in scientific notation.
0.000046
26.
27.
A
4.6 × 10−6
C
4.6 × 10−5
B
4.6 × 10−4
D
46 × 10−5
A city planner plans to lay a fiber optic cable around a city. The cable will be laid out in a
rectangle with sides measuring (2.9 × 101 )𝑚 by (1.7 × 105 )𝑚. What is the area of the city
located within the fiber optic rectangle?
A
4.93 × 106 𝑚2
C
4.6 × 105 𝑚2
B
4.93 × 105 𝑚2
D
4.6 × 106 𝑚2
Simplify
(5×109 )
(2×108 )
A
2.5 × 101
C
2.5 × 102
B
3.0 × 101
D
3.0 × 102
28.
The average distance from the center of Earth to the center of the Moon is
(3.844 × 108 ) meters. The average distance from the center of Earth to the center of the
Sun is (1.496 × 1011 ) meters. From Earth, about how many times farther is it to the Sun
than to the Moon?
A
2.57 × 10−3
C
2.57 × 103
B
3.89 × 102
D
3.89 × 103
Unit 3: Linear versus Non-Linear
29.
Solve the equation.
– 3 + 6x = – 99
30.
A
x = 16
C
x = 17
B
x = –16
D
x = -17
C
x=
D
x=−
Solve the equation.
𝑥
31.
4
A
x=4
B
x = –4
+5=6
11
4
11
4
Solve the equation.
−2𝑥 + 4𝑥 = 4
32.
A
x=
8
C
x= 2
B
x= –8
D
x=–2
Solve the equation.
−3 − 18𝑥 = 33
A
x = – 1.6
C
B
x= 2
D
x = 1.6
X=–2
33.
Solve the equation.
5(𝑥 + 8) = −5𝑥 − 40
34.
A
x= –8
C
No solution
B
x= 8
D
Infinite solutions
Solve the equation.
-3x + 15 = 3(5 – x)
35.
A
x=0
C
Infinitely Many Solutions
B
x=6
D
No Solution
Solve the equation.
7x – 9 = 4 + 7x
36.
A
x = 20
C
Infinitely Many Solutions
B
x = 13/14
D
No Solution
Solve the equation.
2
5
(5x – 10) = – 6
A
x= –1
C
Infinitely Many Solutions
B
x=4
D
No Solution
37.
38.
Which of the following equations will not produce a straight line?
A
y  2x  4
C
x2  y2  0
B
y  4x  3
D
x  y  10
Which of the given tables represents a linear function?
Table A:
x
–6
0
6
9
y
–12
0
12
18
Table C:
x
–1
0
2
4
y
–1
0
8
64
Table B:
x
–6
0
6
9
y
36
0
36
81
Table D:
x
–6
0
6
9
y
–36
0
–36
–81
A
Table A
C
Table C
B
Table B
D
Table D
39.
40.
Lena makes home deliveries of groceries for a supermarket. Her only stops after she
leaves the supermarket are traffic lights and homes where she makes deliveries. The
graph shows her distance from the store on her first trip for the day. What is the
greatest possible number of stops she made at traffic lights?
A
3
B
4
C
9
D
5
Samantha graphed the line y = 8x + 3.
Meredith graphed the line based on this table:
x
y
-2
-3
-1
-1
0
1
1
3
2
5
How would the graphs of the two lines compare?
A.
B.
C.
D.
Meredith’s
Meredith’s
Meredith’s
Meredith’s
slope
slope
slope
slope
is
is
is
is
steeper and y intercept is lower.
steeper and y intercept is lower.
not as steep and y intercept is lower.
not as steep and y intercept is higher.
41.
Sketch a graph of a city bus on a daily route. Label each section A - E according to the
information below.
A
Bus pulls away from the stop and increases speed
42.
B
Bus is at a constant speed between stops
C
Bus slows down to a stop
D
Bus is stopped
E
Bus increases speed after stopping
The data points in the table are linear. Use the table to find slope.
x
y
A
B
C
D
2
1
3
2
−
3
2
−
2
3
2
3
4
-2
6
-5
8
-8
43.
Write an equation for the line.
A
y=x+2
B
y= -x + 2
C
y=x–2
D
Y = -x – 2
44.
The data points in the table are linear. Use the table to find the slope.
Then graph the data and the line.
x
y
A
B
0
-5
−
3
2
2
3
2
-2
4
1
6
4
C
D
2
3
3
2
45.
46.
You have a balance of $270 in your bank account, and starting in January, you will
deposit $45 each month. Let January = 1, and February = 2, and so on. Write an
equation for this situation. Use the equation to find the balance in June.
A
Y = 45x + 270; The balance in June is $540.
B
270 = 45x; The balance in June is $540.
C
Y = 45x – 270 ; The balance in June is $300
D
Y = 270 – 45x ; The balance in June $540.
The data points in the table are linear. Write and equation in slope-intercept form.
x
y
0
-5
A
y = 1.5x + 2
B
y = 1.5x – 5
C
y = 0.67x – 5
D
y = – 0.67x – 5
2
-2
4
1
6
4
47.
The rate of change is constant in each table. Find the rate of change. Explain what the
rate of change means for the situation.
Time (days)
3
4
5
6
A
25
B
1
1
25
C
dollars per day; the cost is $25 for each day.
dollars per day; the cost is $25 for each day.
75
1
D
Cost($)
75
100
125
150
1
150
dollars per day; the cost is $75 for each day.
dollars per day; the cost is $1 fpr 150 days.
48.
Use the slope and y-intercept to graph the equation.
Y=
3
4
𝑥−3
A
C
B
D