AnswersJHS-Algebra 1A full yearCumulative Exam

Graphing on the Coordinate Plane Answers

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What is the value of x in the equation (x + 12) = (x + 14) – 3?

Question illustration
A
–24
B
–6
C
negative StartFraction 2 Over 3 EndFraction.
Option C
D
0
22
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What is the solution to the linear equation?–12 + 3b – 1 = –5 – b

A
b = –2
B
b = –1.5
C
b = 1.5
D
b = 2
23

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.

A
$60
B
$80
C
$90
D
$100
24

Mike found the difference between 18 and a number, n. Which is the correct expression and difference if ?

Question illustration
A
18 – n; when the value is 12.
Option A
B
; when the value is 24.
Option B
C
; when the value is 12.
Option C
D
18 – n; when the value is 24.
Option D
25

Which situation can be represented by a single expression?

A
The product of and a number is 16.
Option A
B
of a number
Option B
C
Half of a number is 15.
D
The difference of 20 and a number is 14.
26

The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?

A
0.7(t) = t – 4 – 2
B
0.7(t) = t + 4 + 2
C
0.7t(4 + 2) = t
D
0.7(t + 4 + 2) = t
27

The inverse of the function f(x) = is shown. h(x) = 2x-What is the missing value?

Question illustration
A
1
B
5
C
10
D
20
28

Which expressions are equivalent when and ?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
29

What is k equal to if ?

Question illustration
A
1.6
B
2.5
C
3.8
D
4.8
30

Which is the best estimate of to the nearest hundredth?

Question illustration
A
0.96
B
0.97
C
0.98
D
1.00
31

Which of these is a ratio table?

A
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 5, 6, 7.
Option A
B
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 4, 5, 7.
Option B
C
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 1, 4, 9.
Option C
D
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.
Option D
32

Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?

A
–100k + 3 + 101k = –245 – 181k
B
–100k + 300 + 101k = –245 – 181k
C
–k + 3 + 101k = –245 – 181k
D
–k + 300 + 101k = –245 – 181k
33

Which phrases can be used to represent the inequality ? Select two options.

Question illustration
A
The product of 6.5 and the sum of a number and 1.5 is no more than 21.
B
The sum of 1.5 and the product of 6.5 and a number is no greater than 21.
C
The product of 6.5 and a number, when increased by 1.5, is below 21.
D
The product of 6.5 and a number, when increased by 1.5, is at most 21.
E
The sum of 1.5 and the product of 6.5 and a number is at least 21.
34

Which statement is true about the value of ?

Question illustration
A
StartAbsoluteValue negative 14 EndAbsoluteValue = negative 14
Option A
B
StartAbsoluteValue negative 14 EndAbsoluteValue less-than 14
Option B
C
It is the distance between –14 and 0 on the number line.
D
It is the distance between –14 and 14 on the number line.
35

The cost of 6 movie tickets is $57.00. What is the cost of 8 movie tickets?

A
$59.00
B
$63.00
C
$65.00
D
$76.00
36

When a number is added to of itself, the result is 24. The equation that models this problem is n + n = 24. What is the value n?

Question illustration
A
n = 18
B
n = 20
C
n = 21
Option C
D
n = 23
Option D
37

Paul drives his delivery van 675 miles in 3 days. At this rate, how far will he drive in 15 days?

A
45 miles
B
225 miles
C
2,025 miles
D
3,375 miles
38

What is the solution to –2(8x – 4) < 2x + 5?

A
x >
Option A
B
x <
Option B
C
x > 6
D
x < 6
39

Which description matches the algebraic expression ?

Question illustration
A
the sum of b and ninety-eight
B
the difference of b and ninety-eight
C
the quotient of b and ninety-eight
D
the product of b and ninety-eight
40

The tables represent the functions f(x) and g(x).

Question illustration
A
x = –12
B
x = –9
C
x = –6
D
x = –3

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