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WorksheetsRSA Semester Exam Review (Fall 2025)
Total questions: 60
Worksheet time: 30mins
A streaming service charges 15permonthplus 4 for every extra device. If Maya's total budget for the month is at most $31, which of the following represents the possible number of extra devices Maya can add?
0, 1, 2, 3, or 4
0, 1, 2, or 3
1, 2, 3, or 4
0, 1, or 2
A music app has a monthly subscription of 10andcharges 2.50 for each premium track download. If Carlos's budget is at most $22, which of the following represents the possible number of premium tracks Carlos can download in a month?
0, 1, 2 , 3, 4
0 ≤ x ≤ 4
0 ≤ x ≤ 6
0 ≤ x ≤ 3
A sunflower grows from 6 inches at Week 2 to 14 inches at Week 8. What is the rate of change in inches per week between Week 2 and Week 8?
4/3 inches per week.
2 inches per week.
3/4 inches per week.
4 inches per week.
A vine grows from 2 inches at Week 0 to 20 inches at Week 10. What is the rate of change of height in inches per week between Week 0 and Week 10?
1.8 inches per week.
2 inches per week.
1.2 inches per week.
0.8 inches per week.
The graph of a line is represented by the equation 7x–2y=14. Which value represents the rate of change of y with respect to x for the equation?
The rate of change of y with respect to x is 7/2 = 3.5.
The rate of change of y with respect to x is -7/2 = -3.5.
The rate of change of y with respect to x is 2/7 ≈ 0.286.
The rate of change of y with respect to x is -2/7 ≈ -0.286.
The graph of a line is represented by the equation –3x+6y=18. Which value represents the rate of change of y with respect to x for the equation?
The rate of change of y with respect to x is 3/6 = 0.5.
The rate of change of y with respect to x is -3/6 = -0.5.
The rate of change of y with respect to x is 6/3 = 2.
The rate of change of y with respect to x is -6/3 = -2.
The owner purchased a delivery van for 62,500.Its value decreases by 12,500 each year. Let y be the value in dollars and x the time in years. What inequality represents the domain?
The domain is 0 ≤ x ≤ 5.
The domain is 0 ≤ x ≤ 12,500.
The domain is 0 ≤ x ≤ 62,500.
The domain is x ≥ 0.
A restaurant owner bought a food truck for 48,000.Itdepreciates 8,000 each year. Let y be value and x time in years. What inequality is the domain?
The domain is 0 ≤ x ≤ 6.
The domain is 0 ≤ x ≤ 8.
The domain is 0 ≤ x ≤ 48.
The domain is 0 ≤ x ≤ 5.
A linear equation is graphed on the coordinate plane. Enter the values to complete the linear equation shown on the graph.
y = -2x + 6
y = 2x + 6
y = -2x - 6
y = 2x - 6
A linear equation is graphed on the coordinate plane. Enter the values to complete the linear equation shown on the graph.
y = 1x - 5
y = 2x + 6
y = -2x - 6
y = -2x + 6
Which of the following is the correct graph for the equation 4x + 3y = 15?
A line with slope -4/3 and y-intercept of 5
A line with slope 4/3 and y-intercept of 5
A horizontal line at y = 3
A straight line passing through (0,4) and (5,0)
Graph -5x + 2y = 10. What is the y-intercept of the equation?
5
-5
-2
2
Linear function k has a zero of -3 and a y-intercept of 6. Which of the following is the equation of function k?
k(x) = 2x + 6
k(x) = -2x + 6
k(x) = -3x + 6
k(x) = x + 6
Linear function k has a zero of -4 and a y-intercept of 3. Which of the following is the equation of function k?
k(x) = 0.75x + 3
k(x) = -0.75x + 3
k(x) = x + 3
k(x) = -0.5x + 3
What value of x makes this equation true?
3(2x - 4) = 2x + 3x + 6
x = 18
x = 5
x = 12
x = -2
What value of x makes this equation true?
4(x + 3) - 2x = 3x + 3 + 5
x = 4
x = 2
x = 0
x = -1
What value of x makes this equation true?
5(x - 2) = 5x + x + 2 + 4
x = -4
x = 2
x = 0
x = -16
What value of x makes this equation true?
2(4x + 5) = 5 + x + 3x
x = 2.5 or 5/2
x = -5/4 or -1.25
x = 4
x = 0
16. Find the mistake and explain. Solve: 2(x + 4) - 8 = 3x + 10 - 4 Student Work:
2(x + 4) - 8 = 3x + 10 - 4
2x + 8 - 8 = 3x + 6
2x = 3x + 6
-3x -3x
x = 6 What is the mistake in the student's solution?
The student incorrectly combined like terms on the right side.
The student made a mistake when distributing 2 to (x + 4).
The student incorrectly subtracted 3x from both sides.
The student made a calculation error when subtracting 8 from 8.
17. Find the mistake and explain.
Solve: 2x - 8 + 3x + 2 = 4x + 10 + 3x - 6
Student Work:
2x - 8 + 3x + 2 = 4x + 10 + 3x - 6
5x - 6 = 7x + 16
-5x -5x
-6 = 2x + 16
-16 -16
-22 = 2x
-22/2 = x
-11 = x
What is the mistake in the student's solution?
The student incorrectly subtracted 5x from both sides instead of subtracting 7x.
The student made a calculation error when combining like terms.
The student should have added 5x to both sides instead of subtracting.
The student made a mistake when dividing by 2 at the end.
18. Which graph represents the solution set to the system of inequalities below?
x + y < 3
x - y ≥ 5
A graph where the solution region is the area below the line x + y = 3 and to the right of the line x - y = 5.
A graph where the solution region is the area above the line x + y = 3 and to the left of the line x - y = 5.
A graph where the solution region is the area above the line x + y = 3 and to the right of the line x - y = 5.
A graph where the solution region is the area below the line x + y = 3 and to the left of the line x - y = 5.
Which graph represents the solution set to the system of inequalities: x + y < 4 and x - y ≥ -2?
A graph showing the region below the line x + y = 4 and above the line x - y = -2.
A graph showing the region above the line x + y = 4 and below the line x - y = -2.
A graph showing the region above both lines x + y = 4 and x - y = -2.
A graph showing the region below both lines x + y = 4 and x - y = -2.
20. Which system of equations does the graph represent?
y = 2x + 1 and y = -x + 4
y = x - 2 and y = -2x + 3
y = -x + 1 and y = 2x - 4
y = 3x + 2 and y = -x - 1
21. Which system of equations does the graph represent?
y = 2x + 1 and y = -x + 4
y = x - 2 and y = -2x + 3
y = -x + 1 and y = 2x - 4
y = 3x + 2 and y = -x - 1
22. The sum of two numbers is 130 and y is 5 more than three times x. Which of the following is the correct system of equations?
x + y = 130, y = 3x + 5
x + y = 130, y = 5x + 3
x + y = 130, y = 3x - 5
x + y = 130, y = x + 5
Which of the following is the correct system of equations for: The sum of x and y is 80 and y is 14 more than twice x?
x + y = 80, y = 2x + 14
x + y = 80, y = x + 14
x + y = 80, y = 14x + 2
x + y = 80, y = 2x - 14
Find the cost of each bag of chips.
2 chips and 3 Pretzels cost $5.13, and 1 chip and 2 Pretzels cost $3.09.
$0.99
$5
$10
$1.05
1 Crab Claw and 4 Gumbos cost $31.00 and 2 Crab Clas and 1 Cup of Gumbo cost $12.25. How much is each order of fried crab claws and each cup of gumbo?
Each order of fried crab claws is $7.95 and each cup of gumbo is $3.95.
Each order of fried crab claws is $5.95 and each cup of gumbo is $4.95.
Each order of fried crab claws is $6.95 and each cup of gumbo is $2.95.
Each order of fried crab claws is $8.95 and each cup of gumbo is $5.95.
26. What type of solution does the following system have?
3x + 2y = 12
x = -2y + 4
No solution
Infinitely many solutions
Exactly one solution
Cannot be determined
27. What type of solution does the following system have?
6x - 3y = 3
y = 2x - 4
One solution
No solution
Infinitely many solutions
Cannot be determined
28. What is the equation of the line that has a slope of 0 and passes through the point (-5, 9)?
y = 9
x = -5
y = -5
y = 0
29. What is the equation of the line that has a slope of 0 and passes through the point (-2, -6)?
y = -6
x = -2
y = -2x - 6
y = -2
Which function gives the height of the dune (in meters) after x days?
h(x) = 2x + 5
h(x)=5x2
h(x) = 10 - x
h(x) = x/2
A lake begins to dry up during a drought. Initially, the water depth is 32 meters. Because of evaporation and lack of rainfall, the depth decreases by 0.12 meters per day. Which function represents the lake’s depth (in meters) after x days?
f(x) = 32 - 0.12x
f(x) = 32 + 0.12x
f(x) = 0.12x - 32
f(x) = 32x - 0.12
What is the range of the given function?
The range is 300 to 1500.
The range is 0 to 12.
The range is 0 to 1500.
The range is 300 to 1200.
What is the range of the given function?
The range is 0 to 150.
The range is 0 to 100.
The range is 0 to 50.
The range is 0 to 500.
34. What is the equation in slope-intercept form of the line that passes through the points (8, -6) and (6, 8)?
y = -7x + 50
y = 7x - 62
y = -7x + 50
y = 7x + 62
What is the equation in slope-intercept form of the line that passes through the points (6, -7) and (8, 5)?
y = 6x - 43
y = 4x - 31
y = 2x - 19
y = -6x + 29
36. Which equation best represents the slope-intercept form of the line that passes through point A and is parallel to line 1?
NOTE: The step on the y-axis is going by 2 and the step on the x-axis is going by 0.5
y = 1/2x + 8
y = 2x + 8
y = -1/2x + 8
y = -2x + 8
37. Which equation best represents the slope-intercept form of the line that passes through point A and is parallel to line 1?
NOTE: The step on the y-axis is going by 2 and the step on the x-axis is going by 0.5
y = 4x + 5
y = 4x - 2
y = -x + 5
y = -4x - 5
The value of y varies directly with x. When the value of x is 5, the value of y is -30. What is the constant of variation when y is a function of x, and what is the value of y when x = -2?
Constant of variation: -6; Value of y when x = -2: 12
Constant of variation: 6; Value of y when x = -2: -12
Constant of variation: -5; Value of y when x = -2: 10
Constant of variation: -30; Value of y when x = -2: 60
The value of y varies directly with x. When the value of x is 7, the value of y is -56. What is the constant of variation when y is a function of x, and what is the value of y when x = -4?
Constant of variation: -8; Value of y when x = -4: 32
Constant of variation: 8; Value of y when x = -4: -32
Constant of variation: -7; Value of y when x = -4: 28
Constant of variation: 7; Value of y when x = -4: -28
What is the slope of the line represented by the table?
2
-3
0.5
4
What is the slope of the line represented by the table?
1
-5
-1
0
42. Which equation BEST represents data? What would be y when x is 24?
y = 2.16x + 6.6; y=58.44
y = 3x - 2; y = 70.23
y = 21.66x + 5; y = 29.54
y = 4x; y = 96
43. Which equation BEST represents data? What would be the test score if you study 8 hours?
y = 3.91x + 74.1; 105
y = 10x - 74.1; 100
y = 3.91x + 10; 74
y = 6x + 30; 78
The graph of f(x) = x is transformed to create the graph of g(x) = 1/4 f(x) + 5. Complete the statement to compare the graph of f and g. The graph of g is _steeper/less steeper_ than the graph of f and has a y-intercept that is greater/less/same than that of f.
steeper
less steeper
greater
less
same
The graph of f(x) = x is transformed to create the graph of g(x) = 5 f(x) + 3.
steeper
less steeper
greater
less
same
How does the graph f compare with the graph of g?
f(x) = x
g(x) = 3f(x) + 2
The graph of f is a vertical shift of the graph of g and steeper that f(x).
The graph of f is a horizontal stretch of the graph of g.
The graph of f is a reflection of the graph of g over the y-axis.
The graph of f is a compression of the graph of g.
How does the graph f compare with the graph of g?
f(x)=x
g(x)=4f(x) - 3
The graph of f is a vertical shift of the graph of g and steeper than f(x).
The graph of f is a horizontal stretch of the graph of g.
The graph of f is a reflection of the graph of g over the y-axis.
The graph of f is a compression of the graph of g.
A sequence is defined below. a₁ = 3 aₙ = aₙ₋₁ + 6 What is the 8th term of the sequence?
45
39
51
57
A sequence is defined below. a₁ = 4 aₙ = aₙ₋₁ - 3 What is the 9th term of the sequence?
-20
-17
-23
-14
50. Thickness (in millimeters) and Recording time (in minutes) table is given. Which correlation best describes the strength of the linear association between the thickness and recording time of device?
Strong positive correlation
Weak negative correlation
No correlation
Strong negative correlation
51. Area (in square meters) and Swings table is given. Which correlation best describes the strength of the linear association between area and swing sets? r=.78
Positive Mederate
Weak positive correlation
No correlation
Strong negative correlation
If f(x) = 3x² - 6, what is the value of f(6)?
102
96
108
90
If f(x) = 2x² - 4, what is the value of f(3)?
14
12
10
8
54. Write the equation of a linear equation that is perpendicular to the x-axis and passes (6, -2).
x = 6
y = -2
y = 6x - 2
x = -2
55. Write the equation of a linear equation that is perpendicular to the x-axis and passes (5, 4).
x = 5
y = 4
y = x + 4
x + y = 9
A car rental agency rents cars for 20 per day plus 0.22 per mile driven. If your travel budget is $200, what is the maximum number of miles you can drive during a 1-day rental?
818 miles
650 miles
900 miles
500 miles
A car rental agency rents cars for $10 per day 0.25 per mile driven. If your travel budget is $100, what is the maximum number of miles you can drive during a 2-day rental?
788 miles
320 miles
900 miles
500 miles
