AnswersAlgebra IUnit Test

Unit Test — Unit test Answers

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Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is –99.

A
(m – 5)(m + 5) = 99
B
(m – 10)(m + 10) = 99
C
m2 – 25 = –99
D
m2 – 100 = –99
2
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The graph of an exponential function and a linear function are shown below. Exponential Linear Which statement is true about the functions?

Question illustration
A
The exponential function is generally growing slower than the linear function.
B
The exponential function is generally growing faster than the linear function.
C
The linear function is generally growing faster than the exponential function.
D
The exponential function and the linear function are generally growing at the same rate.
3

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

A
{–7, 1}
B
(negative 3 minus StartRoot 10 EndRoot comma negative 3 + StartRoot 10 EndRoot)
Option B
C
(3 minus StartRoot 10 EndRoot comma negative 3 + StartRoot 10 EndRoot)
Option C
D
{1, 7}
4

Solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation?

A
{–22, 14}
B
{–14, 22}
C
{–10, 2}
D
{–2, 10}
5

Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options.5(x2 + 4x + 4) = –7 + 20x + 2 = 5(x2 + 4x) = 75(x2 + 4x + 4) = 7 + 205(x2 + 4x) = –7

Question illustration
A
5(x2 + 4x + 4) = –7 + 20
B
x + 2 =
Option B
C
5(x2 + 4x) = 7
D
5(x2 + 4x + 4) = 7 + 20
E
5(x2 + 4x) = –7
6

Fiona is completing the square to solve the polynomial equation.x2 – 4x + 1 = 0

A
isolating the constant 1
B
adding 4 to both sides of the equation
C
isolating the second term, –4x
D
adding 1 to both sides of the equation
7

Solve x2 − 24x = −80 by completing the square.What is the solution set of the equation?

A
{2, 40}
B
{4, 20}
C
{5, 16}
D
{8, 10}
8

The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown.5x2 + 27x = 14 − 13x5x2 + 40x = 145(x2 + 8x) = 14

A
5(x2 + 8x + 16) = 30
B
5(x2 + 8x + 16) = 94
C
5(x2 + 8x + 4) = 18
D
5(x2 + 8x + 4) = 34
9

Using the Completing the Square method, what are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?

A
x = –2 – and x = –2 +
Option A
B
x = –2 – and x = –2 +
Option B
C
x = 2 – and x = 2 +
Option C
D
x = 2 – and x = 2 +
Option D
10

Which is a solution to the equation?(x − 3)(x − 5) = 35

A
x = −8
B
x = −5
C
x = 2
D
x = 10
11

Mariya is solving the quadratic equation by completing the square.4x2-20x+3=04x2-20x=-3A(x2-5x)=-3

A
-20
B
3
C
4
D
5
12

Between which two ordered pairs does the graph of f(x) = x2 + x – 9 cross the negative x-axis?Quadratic formula: x =

Question illustration
A
(–6, 0) and (–5, 0)
B
(–4, 0) and (–3, 0)
C
(–3, 0) and (–2, 0)
D
(–2, 0) and (–1, 0)
13

A quadratic equation of the form 0 = ax2 + bx + c has one real number solution. Which could be the equation?

A
0 = 2x2 – 4x + 1
B
0 = 2x2 – 5x + 3
C
0 = –2x2 – 4x – 2
D
0 = –2x2 – 3x – 1
14

Clara writes the equation (x – 13)(x + 8) = 196 to solve for the missing side length of a rectangle represented by the factor x + 8. What is the missing side length represented by x + 8 units of the rectangle?

A
7
B
15
C
20
D
28
15

What is a solution to (x + 6)(x + 2) = 60?

A
x = −6
B
x = −4
C
x = 4
D
x = 12

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