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WorksheetsA1b Unit 8b Review
Total questions: 35
Worksheet time: 6hrs 46mins
What is the solution of the following system of equations?
2x + y = 6
3x -7y = 9
(-3, 12)
(2, 2)
(3, 0)
(1, 4)
Identify the systems of equations that have only one solution.
5x + y = 6 & 5x + y = -6
4x - y = 2 & y = -4
x + 3y = -3 & x - 3y = -3
-2x + y = 5 & -4x +2y = 10
The sum of two numbers is 35. Three times the smaller number less the greater number is 17. Which system of equations describes the two numbers?
x + y = 35 & 3x - y = 17
x + y = 35 & x - y = 17
x + y = 35 & x - 3y = 17
x + y = 35 & x + y = 35
Joe has a 300 ft fence around his rectangular yard. The length is 10 feet more than twice the width. Which equation can you use to determine the dimensions?
x + (x +10) = 300
x(x+10) = 300
2x + 210x = 300
2x + 2(x+10) = 300
What is the solution to the system of equations graphed below?
(-4, 5)
(-5, 4)
(5, 4)
(4, 5)
Which is the solution to the system:
3x = 2y + 6 & 5x + 7y = 41
(4, 1)
(3, 0)
(4, 3)
(4, -3)
A library contains 2000 books. There are 3 times as many non-fiction books as fiction books. Choose the equations that make a system to determine the number of non-fiction books.
y = 3x
3x + y = 2000
3x +3y = 2000
x + y = 2000
Identify the system of equations that have no solution.
5x + y = 6 & 5x + y = -6
4x - y = 2 & y = -4
x + 3y = -3 & x - 3y = -3
-2x + y = 5 & -4x +2y = 10
Tina and Ken each sold snack bars and magazines subscriptions for a school fund-raiser, as shown in the table. Kia earned $132 and Ken earned $190. Identify the equations that make up the system of equations to represent this information.
16s + 20m = $132
16s + 4m = $132
16s + 20m = $190
20s + 6m = $190
Two times a number plus three times another number equals 4. Three times the first number plus four times the other number is 7. Find the two numbers.
2
-2
5
-5
Identify the system of equations that have infinitely many solutions.
5x + y = 6 & 5x + y = -6
4x - y = 2 & y = -4
x + 3y = -3 & x - 3y = -3
-2x + y = 5 & -4x +2y = 10
Using set builder notation, identify the solution set for the inequality -5x + 5 > 25
{xl x > 5}
{xl x < -4}
{xl x > -4}
{xl x < 25}
Using set builder notation, identify the solution set for the inequality:
2x - 18 > 5(x + 3)
{xl x < -11}
{xl x > -11}
{xl x > 1}
{xl x < 1}
Joe sells ice cream cones at the country fair. He has to rent the equipment for $36 and spend $0.52 on ingredients for each cone. What is the minimum number of ice cream cones Joe must sell at $1.40 each in order to make a profit?
39
40
41
42
Identify the system of inequalities that matches this graph.
Using the given graph, identify all of the points which are solutions of y is less than or equal to two x minus three and y is less than or equal to negative one and twenty-five hundredths x plus two and five tenths.
(-3, -2)
(1, -3)
(2, -2)
(.5, 3)
(1, -1)
Identify the system of inequalities that matches this graph.
A salesman gets paid a fixed commission above his base salary for any passenger car (p) he sells and a different fixed commission for any SUV (s)he sells. In August he sold 5 cars and 5 SUVs and earned $2500 above his base salary. In September he sold 8 cars and 3 SUVs and earned $3000 below his base salary. Which region represents the possible commissions he earned?
Region A
Region B
Region C
Region D
Identify the system of inequalities that matches this graph.
Identify the inequalities that create the system for this graph.
What is the solution to the system of equations graphed below?
No Solution
Infinite Solutions
One Solution: (3, 1)
One Solution: (1, 3)
What is the solution to the system of equations graphed below?
No Solution
Infinite Solutions
One Solution: (0, 4)
One Solution: (0, 6)
What is the solution to the system of equations graphed below?
No Solution
Infinite Solutions
One Solution: (0, 2)
One Solution: (2, 6)
When solving a system of equations algebraically, which statement results in infinite solutions?
4 = 7
2 = 2
-3 = 3
all of the above
When solving a system of equations algebraically, which statement results in no solution?
4 = 7
-2 = 2
-3 = 3
all of the above
Solve the system of equations.
(3, -24)
(0, 4)
(-24, 3)
No solution
Infinite solutions
Solve the system of equations.
(-6, 1)
(0, 0)
(1, -6)
No solution
Infinite solutions
Solve the system of equations.
(-34, -17)
(8, 4)
(10, 20)
No solution
Infinite solutions
y < 2
y < 2
y < 2
y < -2
5 ≥ x
Solve the system of inequalities by graphing.
