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WorksheetsAlgebra & Functions
Total questions: 10
Worksheet time: 2mins
Which of the following is equivalent to this expression?
x² + 5x − 84
(x + 6)(x − 14)
(x − 6)(x + 14)
(x + 7)(x − 12)
(x − 7)(x + 12)
This table shows the values of the linear function f(x) for different values of x.
The function g(x) is represented by this equation.
g(x) = 10x + 40
Which statement correctly compares the rates of change and y-intercepts
of f(x) and g(x)?
Function f(x) has a greater rate of change and a greater y-intercept
than function g(x).
Function g(x) has a greater rate of change than function f(x), and
function f(x) has a greater y-intercept than function g(x).
Function g(x) has a greater rate of change and a greater y-intercept
than function f(x).
Function f(x) has a greater rate of change than function g(x), and
function g(x) has a greater y-intercept than function f(x).
This table shows the value of linear function f (x) for different values of x.
A student graphed the line that represents f (x) on a coordinate plane. Which statement about the graph of f (x) is true?
The slope of the line is negative, and the y-intercept of the line
is negative.
The slope of the line is negative, and the y-intercept of the line
is positive.
The slope of the line is positive, and the y-intercept of the line
is positive.
The slope of the line is positive, and the y-intercept of the line
is negative.
Marvin solved this equation.
4(x + 5) = 88
Marvin created a table showing each step he used to solve the equation.
The table also showed the correct explanation for each step.
Which of the following tables shows the correct explanation for each step in Marvin's solution?
Consider this function.
f(x) = x(18 − x)
What are the values of f(0), f(5), and f(18)?
f(0) = −18
f(5) = 90
f(18) = −36
f(0) = 0
f(5) = 90
f(18) = −324
f(0) = 0
f(5) = 65
f(18) = 0
f(0) = 18
f(5) = −450
f(18) = −36
A student has two part-time jobs: babysitting and tutoring. The student earns an hourly wage at each job.
• On Monday, the student earned a total of $130 for 4 hours of babysitting and 2 hours of tutoring.
• On Tuesday, the student earned a total of $80 for 3 hours of babysitting and 1 hour of tutoring.
Which of the following systems of equations can be used to find x, the
student’s hourly wage for babysitting, and y, the student’s hourly wage for tutoring?
3x + y = 130
4x + 2y = 80
4x + 2y = 130
3x + y = 80
2x + 4y = 130
x + 3y = 80
4x + 3y = 130
2x + y = 80
Which of the following is equivalent to this expression?
4k⁴ + 16k³ + 10k²
2k² (2k² + 8k + 5)
2(2k⁴ + 14k³ + 8k²)
2k² (2k² + 16k + 10)
4k²(k² + 4k + 2)
This table shows the value of linear function f (x) for different values of x.
A student graphed the line that represents f (x) on a coordinate plane. Which statement about the graph of f (x) is true?
The slope of the line is positive, and the y-intercept of the line
is negative.
The slope of the line is negative, and the y-intercept of the line
is negative.
The slope of the line is negative, and the y-intercept of the line
is positive.
The slope of the line is positive, and the y-intercept of the line
is positive.
Consider this inequality.
y ≥ x − 4
Which of the following graphs represents the solution set of the inequality?
