Algebra 1 Unit 4 Practice Test Part 1 Name _________________________________________ Linear Inequalities and Systems of Linear Inequalities Period _________ Graph each inequality below
1) y >
2
x+5
3
1
3) y ≥ (x − 2) + 1
3
2) y < 1
4) y ≤ x – 2
5) x > 2
6) x + y < 4
7) y < 4x
8) y ≥ −x + 5
9) 2x − 3y < 6 x-int _____ y-int_______
Page 1 x-int _____ y-int_______
Page 2: Graph each system of inequalities. LABEL the lines with their letters!!
A : y < 2(x − 3) + 4
1)
2
B : y < (x + 1) − 4
3
4)
A : y ≤ −(x − 1) + 2
3)
5
B:y ≥ − x
2
A:y > 2
2)
B : x < −2
A:x ≤ 2
B : x − y ≤ 2 x-int____ y-int____
5)
A : x + y < −1
B : x − 2y ≥ 4 x-int____ y-int____
6)
A:y ≥ x
B : y ≤ −x + 1
Extra Credit that will be on Unit 4 Test:
Write the inequalities that represent the systems shown in each graph.
⎧ ____________
1) ⎨
⎩ ____________
⎧ ____________
2) ⎨
⎩ ____________
Page 2 ⎧ ____________
⎪
3) ⎨ ____________
⎪ ____________
⎩
Algebra Unit 3 Test Retake Practice: Page 1
Unit 3 Page 1: Solve Systems of Equations by Graphing
For #1-4, graph both equations and locate the solution. WATCH OUT FOR INFINITE SOLUTIONS OR NO
SOLUTIONS!
1
1) Equation A: y = − x + 4
3
2
Equation B: y = x + 1
3
3) Equation A: y = 2
Equation B: 2x + y = −2
2) Equation A: y = 2x + 4
Equation B:
1) (
,
)
2) (
,
)
3) (
,
)
y = −2x
3
4) Equation A: y = − (x + 2) + 2
2
3
Equation B: y = − x + 3
2
4) ___________
Page 3 Unit 3 retake practice Page 4
1) Alexia was asked to solve the following system of equations. She got (5, 6) as her answer.
answer to see if she got it correct.
Equation A: y = 2x – 4
Equation B: 2x − 3y = −8
Check Equation A:
Check her
Check Equation B:
Was Alexia correct? (yes or no) ____________
2) Solve each of the following problems. You must use a system of equations to solve the problem!
a) When I add two numbers together, I get 28. When I subtract the same two numbers, I get 6. What are the
two numbers? Set up a system of equations and solve, showing your work.
a) The two numbers are: _________________
b) James and Mariana go to McDonald’s. James orders 1 burger and 2 fries and spends $7. Mariana orders 2
burgers and 1 fries and spends $8. What is the cost of a burger? What is the cost of a fries? Set up a system of
equations and solve, showing your work.
b) Cost of a burger: ___________
Cost of a fries: ___________ Page 4 Unit 3 Retake Practice Page 2: Solve Systems of Equations using Substitution
1)
Equation A: y = 2x + 1
Equation B: y = x + 4
1) (
,
)
2)
Equation A: y = -4x + 7
Equation B: 3x + 2y = 4
2) (
,
)
3) (
,
)
3) Solve this system by substitution AND by graphing.
Equation A: y = x - 1
Equation B: y = 3(x – 1) - 2
Page 5 Unit 3 Retake Practice Page 3: Solve Systems of Equations using Elimination
For #4-5, Solve each system using elimination. Check your answers.
1) Equation A: 2x + 6y = 10
Equation B: 2x + 4y = 4
2)
Equation A: 2x + 6y = 10
Equation B: x + 2y = 2
3)
Equation A: 2x + y = 2
1) (
3) (
Equation B: 3x − 4y = −19
Page 6 ,
,
)
2) (
,
)
)