Question 1
Correct
4.16 points out
of 4.16
Use the point-slope formula to write an equation of the line with the given slope that
passes through the g... [Show More] iven point. Write your answer in slope-intercept form.
slope = 12; through (– 1, 4)
Select one:
A. y = 12x + 16
B. y = −3x + 12
C. y = 12x + 4
D. y = 12x − 1
Question 2
Correct
4.17 points out
of 4.17
Fill in the blank.
The point (−6, 1) is in the quadrant.
Select one:
A. fourth
B. third
C. first
D. second
Straighterline MAT099 Introduction Algebra Graded Exam 4 (New Version June 2024)
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MAT099_MH_V3 | Topic 14: Functions and Interpreting Graphs
Started on
State Finished
Completed on
Time taken 1 hour 28 mins
Points 120.84/125.00
Grade 120.83 out of 125.00 (97%)Solve the problem.
Let g(x) = 2x − 2. Find g(2 3)and simplify.
Select one:
A.
2 3
B. −2
C. 6
D. −
2 3
Question 3
Correct
4.17 points out
of 4.17Plot the ordered pairs.
A : (2, 4); B : (−3, 0); C : (0, 3)
Select one:
A.
B.
C.
Question 4
Correct
4.17 points out
of 4.17Question 5
Correct
4.17 points out
of 4.17
Identify the domain and range of the relation, and determine whether the relation is
a function.
{(−8, −14), (−6, 4), (1, 13), (7, 15)}
Select one:
A. Domain: {−14, 4, 13, 15}; Range: {−8, −6, 1, 7}; Function
B. Domain: {−8, −6, 1, 7}; Range: {−14, 4, 13, 15}; Not a function
C. Domain: {−8, −6, 1, 7}; Range: {−14, 4, 13, 15}; Function
D. Domain: {−14, 4, 13, 15}; Range: {−8, −6, 1, 7}; Not a function
Question 6
Correct
4.17 points out
of 4.17
Solve the problem.
The steepness (slope) of a roof on a house in a certain town cannot exceed
7
, also
12
known as a 7 : 12 pitch. The first number refers to the rise of the roof. The second
number refers to how far you must go (the run) to attain that rise. Does a roof with a
11 : 23 pitch meet the town's building code?
Select one:
A. no
B. yes
D.Question 8
Correct
4.17 points out
of 4.17
Identify the domain and range of the relation, and determine whether the relation is
a function.
{(−4, 4), (0, 1), (17, −1), (0, −4)}
Select one:
A. Domain: {−4, −1, 1, 4}; Range: {−4, 0, 17}; Function
B. Domain: {−4, 0, 17}; Range: {−4, −1, 1, 4}; Not a function
C. Domain: {−4, −1, 1, 4}; Range: {−4, 0, 17}; Not a function
D. Domain: {−4, 0, 0, 17}; Range: {−4, −1, 1, 4}; Function
Question 9
Correct
4.17 points out
of 4.17
Write the standard form for the equation of the line with the given slope that passes
through the given point.
through (1, −6) and (8, 4)
Select one:
A. 7x − 10y = 16
B. 7x − 10y = 67
C. 10x + 7y = −32
D. 10x − 7y = 52
Fill in the blank.
A horizontal line has slope.
Select one:
A. positive
B. undefined
C. negative
D. zero
Question 7
Correct
4.17 points out
of 4.17Graph the equation by finding the intercepts and at least one other point.
x = 1
Select one:
A.
B.
Question 10
Correct
4.17 points out
of 4.17Question 11
Correct
4.17 points out
of 4.17
Solve the problem.
Find the dimensions of a rectangular window that has a perimeter of 260 in. if the width is
34 in. more than the height of the window
Select one:
A. width: 130 in.; height: 96 in.
B. width: 147 in.; height: 113 in.
C. width: 164 in.; height: 96 in.
D. width: 82 in.; height: 48 in.
C.
D.Question 13
Correct
4.17 points out
of 4.17
Solve the system using the elimination method.
x y
5 − 6 =
x y
2 + 4
1
30
=
3 4
Select one:
A. (0, 3)
B. Infinite number of solutions of the form{
C. ∅
D. (1, 1)
(x, y)∣ x
∣ 5
y
−
6 = 30 1 }
Solve the system by substitution.
2x + 8y = 39
−4x − 4y = −12
Select one:
A.(− 5 11
2, 2 )
B. There is no solution.
C.(5 , − 13)
4 4
D.(1 , − 1)
2 2
Question 12
Incorrect
0.00 points out
of 4.17Question 15
Correct
4.17 points out
of 4.17
Solve the system by substitution.
\( y = 2x - 6 \\7x + 3y = -5 \)
Select one:
A. \( \bigg(\displaystyle\frac{1}{13}, - \frac{76}{13}\bigg) \)
B. \((-4, 1)\)
C. \( \emptyset \)
D. \((1, -4)\)
Question 16
Correct
4.17 points out
of 4.17
Without graphing, determine how many solutions the system has.
\( y = \displaystyle\frac{3}{7}x - 4\\ 6x - 7y = 28 \)
Select one:
A. One solution
B. Cannot tell
C. No solution
D. Infinite number of solutions
Solve the problem.
The sum of two positive numbers is 95. Their difference is 21. Find the numbers.
Select one:
A. 53 and 42
B. 62 and 33
C. 55 and 34
D. \(58\) and \(37\)
Question 14
Correct
4.17 points out
of 4.17Question 18
Correct
4.17 points out
of 4.17
Solve the problem.
A dairy keeps two kinds of milk on hand, skim milk that has \(0.2\%\) butterfat and whole
milk that has \(3.4\%\) butter fat. How many gallons of each type of milk does a company
need to produce \(160\) gallons of \(1\%\) milk for a grocery store?
Select one:
A. \(115\) gallons of skim; \(45\) gallons of whole
B. \(130\) gallons of skim; \(30\) gallons of whole
C. \(120\) gallons of skim; \(40\) gallons of whole
D. \(125\) gallons of skim; \(35\) gallons of whole
Solve the system by graphing.
\(\begin{align} 4x-5y & = 5 \\ x+y& = 8 \end{align} \)
Select one:
A. \((35, - 27)\)
B. \((0, -1)\)
C. \((5, 3)\)
D. \((3, 5)\)
Question 17
Correct
4.17 points out
of 4.17Question 20
Correct
4.17 points out
of 4.17
Determine if the given point is a solution to the system.
\( (5, 4)\\ \quad\quad\begin{align}7x-4y&=19 \\ 3x+8y&=45 \end{align} \)
Select one:
A. No
B. Yes
Solve the system by substitution.
\( \displaystyle\frac{2}{5}x + \frac{3}{5}y = -4 \\ \displaystyle\frac{1}{3}x + 2y = - \frac{28}{3}
\)
Select one:
A. \( \bigg\lbrace{\bigg(\displaystyle\frac{2}{3}, - \frac{5}{3}\bigg)} \bigg\rbrace \)
B. \( \lbrace{(-4, -4)}\rbrace \)
C. \( \bigg \lbrace{\bigg(\displaystyle\frac{7}{5}, -3\bigg)}\bigg\rbrace \)
D. There is no solution.
Question 19
Correct
4.17 points out
of 4.17Question 22
Correct
4.17 points out
of 4.17
Answer the question.
If the discriminant of a quadratic equation is negative, what does that tell you about the
solutions of the equation?
Select one:
A. The equation has two rational solutions
B. The equation has two irrational solutions
C. The equation has no real number solutions
D. The equation has one rational solution
Recall that the graph of \(f(x)=ax^2+bx+c \) opens downward if \(a<0\). Therefore, the
vertex is the highest point on the parabola so that the maximum value of the
function is the \(y\)-coordinate of vertex. The \(x\)-coordinate of the vertex is the
value at which the maximum occurs.
An object is fired upward from a height of \(12\) feet so that its height \(h\) (in feet) \
(t\) seconds after being fired is given by \(h(t)=-16t^2+160t+12\).
a) How long does it take the object to reach its maximum height?
b) What is the maximum height attained by the object?
Select one:
A. a) \(5\) sec
b) \(412\) ft
B. a) \(10\) sec
b) \(412\) ft
C. a) \(5\) sec
b) \(12\) ft
D. a) \(10\) sec
b) \(12\) ft
Question 21
Correct
4.17 points out
of 4.17Question 24
Correct
4.17 points out
of 4.17
Solve the equation.
\( n(n+3)=-8 \)
Select one:
A. \(\{1,\; 8\}\)
B. \( \bigg\{\displaystyle \frac{-3- \sqrt{23} }{2},\; \frac{-3+ \sqrt{23} }{2}\bigg\} \)
C. No real solution
D. \( \lbrace{-3-\sqrt{23},\;-3+\sqrt{23}}\rbrace \)
Question 25
Correct
4.17 points out
of 4.17
Divide. Write the quotient in the form \( a + bi \).
\( \displaystyle\frac{-4i}{7 - 5i} \)
Select one:
A. \( \displaystyle\frac{10}{37} + \frac{14}{37}i \)
B. \( \displaystyle\frac{5}{6} - \frac{7}{6}i \)
C. \( \displaystyle\frac{5}{6} + \frac{7}{6}i \)
D. \( \displaystyle\frac{10}{37} - \frac{14}{37}i \)
Perform the indicated operations.
\( -2i - (7 - 3i) + (7 + i) \)
Select one:
A. \( -4i \)
B. \( 14 + 2i \)
C. \( 2i \)
D. \( 14 - 4i \)
Question 23
Correct
4.17 points out
of 4.17Question 27
Correct
4.17 points out
of 4.17
Solve the equation.
\( s^2=16 \)
Select one:
A. \( \lbrace{\pm4i } \rbrace \)
B. \( \lbrace{4i } \rbrace \)
C. \( \lbrace{\pm4} \rbrace \)
D. \( \lbrace{4} \rbrace \)
Question 28
Correct
4.17 points out
of 4.17
Answer the question.
The surface area, \(S\), of a cube is given by \(S=6L^2\), where \(L\) is the length of one of
its sides. Find the length of a side of a cube with a surface area of \(726\;\text{in}^2\).
Select one:
A. \(11\;\text{in.}\)
B. \(121\;\text{in.}\)
C. \(60.5\;\text{in.}\)
D. \(11\sqrt{6}\;\text{in.}\)
Multiply and simplify.
\( 4(2 - 9i) \)
Select one:
A. \( -28i \)
B. \( 8 - 9i \)
C. \( 8 - 36i \)
D. \( 8 + 36i \)
Question 26
Correct
4.17 points out
of 4.17Question 30
Correct
4.17 points out
of 4.17
Solve the equation.
\( (4p+3)^2-5=75 \)
Select one:
A. \( \bigg\{\displaystyle \frac{-3-4 \sqrt{5} }{4},\;\frac{-3+4 \sqrt{5} }{4}\bigg\} \)
B. \( \bigg\{\displaystyle \frac{3-4 \sqrt{5} }{4},\;\frac{3+4 \sqrt{5} }{4}\bigg\} \)
C. \( \bigg\{\displaystyle \frac{3}{4}- \frac{4 \sqrt{5}}{4} i,\;\frac{3}{4}+ \frac{4 \sqrt{5}}{4}
i\bigg\} \)
D. \( \bigg\{\displaystyle -\frac{3}{4}- \frac{4 \sqrt{5}}{4} i,\;-\frac{3}{4}+ \frac{4 \sqrt{5}}
{4} i\bigg\} \)
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Finish review
Identify the domain and range of the function.
\( g(x)=(x-4)^2-1 \)
Select one:
A. Domain: \((-\infty,\;\infty )\); Range: \([-1,\; \infty)\)
B. Domain: \((-\infty,\;\infty )\); Range: \((-\infty,\;\infty )\)
C. Domain: \([4,\; \infty)\); Range: \((-\infty,\;\infty )\)
D. Domain: \([4,\; \infty)\); Range: \((-\infty,\;-1]\)
Question 29
Correct
4.17 points out
of 4.17© 2023 StraighterLine. All rights reserved [Show Less]
