Solving Equations and Inequalities
The formula a = m – n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied.
Solve the formula for the amount of the coupon (N).
A. n = a + m
B. n = m – a
C. n = a – m
D. n = – m – a
What is A. n = a + m
Which equation represents a line with slope 2/3 and y-intercept –6?
A. 2x + 3y = −6
B. 3x − 2y = 6
C. 3x − 2y = 12
D. 2x − 3y = 18
What is D. 2x − 3y = 18
The function f is shown in the table below. Identify the domain and range of function f. Enter the numbers in order from least to greatest.
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What is
Domain:-5, -2, 1, 5
Range: -26, -14, -2
What is the solution of the system of equations when the lines are parallel?
A. No solution
B. One solution
C. Infinitely many solutions
What is A. No solution
What is the equation of a line that is perpendicular to the line x − 2y = 4?
A. y = 1/2x − 4
B. y = -1/2x + 6
C. y = 2x − 3
D. y = −2x + 8
What is D. y = −2x + 8
The trend line that Sylvie has drawn for her graph goes through the points (5, 0) and (4, 3). What is the equation of the line?
A. y= 1/3x+5/3
B. y= -1/3x-5
C. y= 3x+15
D. y= −3x+15
What is D. y= −3x+15
The equation 6x − 3y = 24 represents Shari’s distance from home, y, in blocks, on her run across town over time, x, in minutes.
At what point does the graph of the line intersect the x-axis? coordinates
What is (4,0)
The function f(x) = 4x + 10 models the amount of money Francis makes when babysitting for x hours. How much money will he make for 2 hours of babysitting work?
A. –3
B. –2
C. 2
D. 18
What is D. 18
What is the solution of the system of equations shown below?
y= -x + 3
y= 4x - 2
A. (0,3)
B. (1,2)
C. (2,1)
D. (0,-2)
What is B. (1,2)
What inequality is shown by the graph?
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What is D. y ≥ –1/3x + 2
Solve for x in the equation below
3x - 4 = 5
What is x=3
Which of the following is an equation of the line in the graph?
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A. 3x − y = 4
B. 3x + y = 4
C. −3x − y = 4
D. −3x + y = 4
What is B. 3x + y = 4
What is the graph of f(x) = 3x – 4, where x ≥ 1?
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What is C. or graph increasing
Use substitution to determine the solution of the system of equations.
y = -2x - 7
2y - x = 1
A. (-1,0)
B. (21/2, -28)
C. (-6, -5/2)
D. (-3, -1)
What is D. (-3, -1)
Use substitution to determine whether the system has no solution, infinitely many solutions, or one solution.
15x + 5y = 20
y = 8 − 3x
A. No solution
B. Infinitely many solutions
C. One solution
What is A. No solution
Solve for a in the equation below
3(a+1) – 5 = 3a – 2
What is a -2 = -2 or x=0
An airport shuttle charges a $5 flat rate plus $1.50 per mile driven. Alex’s last trip to the airport cost $41. Write and solve an equation to find the number of miles of Alex’s trip.
What is the equation?
The trip was how many miles?
Use slope interceot form to answer
What is 5 + 1.50x = 41
What is 24 miles
Which set builder notation represents the domain of the function in the graph?
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A. {y|−1≤ y ≤ 3}
B. {y|1 ≤ y ≤ 9 }
C. {x|−1 ≤ x ≤ 3}
D. {x|1 ≤ x ≤ 9}
What is C. {x|−1 ≤ x ≤ 3}
What statement is true of the system of equations?
4x − 5y = 4
2x + 3y = 2
A. The solution is (0, 1).
B. The solution is (1, 0).
C. The system has no solution.
D. The system has infinitely many solutions.
What is B. The solution is (1, 0)
Alex invests $300 in a company. He will receive 6% simple interest annually for the next 5 years.
After 5 years, Alex will have earned in interest?
A. $18
B. $90
C. $318
D. $390
What is D. $390
Solve for b in the equation below
8(b + 1) + 4 = 3(2b – 8) – 16
What is -26
The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15.
Write an equation that describes the numbers of pens, x, and pencils, y, that the glee club can buy.
What is the greatest number of each type of writing tool that the club can buy?
What is 0.75x + 0.15y = 90
Pen: 120
Pencils: 600
Solve the compound inequality
1/2x − 4 < 3 and 7 ≤ 3x + 5.
A. x > −14 and x ≤ 2/3
B. x < 14 and x ≥ 2/3
C. x > −1 and x ≤ 4
D. x < −1 and x ≥ 4
What is B. x < 14 and x ≥ 2/3
Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20. Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8.80. Let x represent the price per pound for grapefruit, and let y represent the price per pound for oranges.
Choose the system of equations that models the situation.
A. 2x + 3y = 7.20
2x + 4y = 8.80
B. 3x + 2y = 7.20
4x + 2y = 8.80
C. 2x + 3y = 7.20
4x + 2y = 8.80
D. 2x + 3y = 8.80
4x + 2y = 7.20
What is
C. 2x + 3y = 7.20
4x + 2y = 8.80
Six friends each use a $2-off coupons to buy themselves a movie tickets. They spend a total of $42. What is the price of one movie ticket without the coupon?
A. $5
B. $7
C. $9
D. $11
What is C. $9