Solving One-Variable Equations with Systems — Unit test Answers
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21
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Becca graphs the equations y = –3(x – 1) and y = x – 5 to solve the equation –3(x – 1) = x – 5. Her graph is shown below.What are the solution(s) of –3(x – 1) = x – 5?
A
–5 and 3B
–3C
1 and 5D
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Which graph represents an odd function?
A
On a coordinate plane, a function has two curves. The first curve is in quadrants 2 and 3 and has a minimum value of (negative 1, negative 3). The curve intersects the x-axis at (negative 2, 0) and goes to (0, 0). The second curve is in quadrants 1 and 4 and has a minimum value of (1, negative 3). The curve starts at (0, 0) and intercepts the x-axis at (2, 0).
B
On a coordinate plane, a curved line crosses the x-axis at (negative 4, 0), (0, 0), and (4, 0).
C
On a coordinate plane, a v-shaped function opens up. The function goes through (0, 2), has a vertex at (2, 0), and goes through (5, 3).
D
On a coordinate plane, a curve has a maximum point at (0.5, 1) and a minimum point at (2, 0). The curve goes through points (0, 0) and (3, 4).
23
The graphs of f(x) and g(x) are shown below. Which of the following is the graph of (g – f)(x)?
A
On a coordinate plane, a straight line with a negative slope goes through points (negative 2, 6), (0, 0), and (2, negative 6)
B
On a coordinate plane, a straight line with a negative slope goes through points (negative 6, 6), (0, 0), and (6, negative 6).
C
On a coordinate plane, a straight line with a positive slope goes through points (negative 2, negative 6), (0, 0), and (2, 6).
D
On a coordinate plane, a straight line with a positive slope goes through points (negative 6, negative 6), (0, 0), and (6, 6).
24
The height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the function . Which expression could be used to determine the average rate at which the object falls during the first 3 seconds of its fall?
A
h(3) – h(0)B
h (three-thirds) minus h (zero-thirds)
C
StartFraction h (3) Over 3 EndFraction
D
StartFraction h (3) minus h (0) Over 3 EndFraction
25
Which expression is equivalent to (f + g)(4)?
A
f(4) + g(4)B
f(x) + g(4)C
f(4 + g(4))D
4(f(x) + g(x))Did you find these answers helpful?
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