Cumulative Exam — Cumulative exam Answers

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Sylvie finds the solution to the system of equations by graphing.y = x + 1 and y = x – 1Which graph shows the solution to Sylvie’s system of equations?

Question illustration
A
Option
B
Option
C
Option
D
Option
42
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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
43

Which exponential function has a growth factor of 5?

A
f(x) = 2(5x)
B
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It goes through (negative 1, 2) and crosses the y-axis at (0, 0.5).
Option B
C
f(x) = 0.5(2x)
D
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries one-eighth, one-fourth, one-half, 1, 2.
Option D
44

On a coordinate plane, an absolute value graph has a vertex at (negative 2, 1).

Question illustration
A
Both h and k must be positive.
B
Both h and k must be negative.
C
h must be positive and k must be negative.
D
h must be negative and k must be positive.
45

Solve the equation.−10x + 1 + 7x = 37

A
x = −15
B
x = −12
C
x = 12
D
x = 15
46

y=–x + 4x + 2y=–8

Question illustration
A
one solution: (8, 0)
B
one solution: (0, 8)
C
no solution
D
infinite number of solutions
47

Over which interval is the graph of the parent absolute value function decreasing?

Question illustration
A
(–∞, ∞)
B
(–∞, 0)
C
(–6, 0)
D
(0, ∞)
48

The graph of f(x) = |x| is translated 6 units to the right and 2 units up to form a new function. Which statement about the range of both functions is true?

A
The range is the same for both functions: {y | y is a real number}.
B
The range is the same for both functions: {y | y > 0}.
C
The range changes from {y | y > 0} to {y | y > 2}.
D
The range changes from {y | y > 0} to {y | y > 6}.
49

Which statements apply to the ratio of rice and water? Choose two options.

A
The amount of rice is the dependent value.
B
The amount of water is the dependent value.
C
The amount of rice is the independent value.
D
The amount of water is the independent value.
E
The values cannot be labeled as dependent or independent without a given equation.
50

On a coordinate plane, a curved line begins at point (negative 2, negative 3), crosses the y-axis at (0, negative .25), and the x-axis at (1, 0).

Question illustration
A
all real numbers
B
all real numbers greater than or equal to 0
C
all real numbers greater than or equal to –2
D
all real numbers greater than or equal to –3

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