Name:___________________________________
Ms. Sam
Date:_____________
Group:_______
Linear Equations Unit Exam Part 1
Instructions: Be sure to read carefully all the directions in the exam. Read each
question carefully and think about the answer before choosing your response.
Calculators are not allowed.
Learning Target #1: I can expand expressions using the distributive property and
collect like terms.
1. Which step would not be a possible first step for solving this equation algebraically? 2
1
1
2𝑥 − 1 + 2 = 7 + 𝑥 3
3
2
A. Multiplying every term in the equation by six !
B. Subtracting 2 ! from 7 !
C. Subtracting ! 𝑥 from 2𝑥 !
D. Multiplying −1 by ! 2. What is the sum of −3𝑥 ! − 7𝑥 + 9 and −5𝑥 ! + 6𝑥 − 4?
A.
B.
C.
D.
−8𝑥 ! − 𝑥 + 5
−8𝑥 ! − 𝑥 + 5
−8𝑥 ! − 13𝑥 + 13
−8𝑥 ! − 13𝑥 ! + 13
3. When 5𝑥 + 4𝑦 is subtracted from 5𝑥 − 4𝑦, the difference is
A.
B.
C.
D.
0
10𝑥
8𝑦
−8𝑦
4. The sum of 3𝑥 ! + 5𝑥 − 6 and −𝑥 ! + 3𝑥 + 9 is
A.
B.
C.
D.
2𝑥 ! + 8𝑥 − 15
2𝑥 ! + 8𝑥 + 3
2𝑥 ! + 8𝑥 ! + 3
4𝑥 ! + 2𝑥 − 15
1 Learning Target #2: I can solve linear equations in one variable.
5. Taquasia solved the linear equation 3 𝑥 + 4 − 2 = 16 as follows:
She made an error between lines A. 1 and 2
B. 2 and 3
C. 3 and 4
D. 4 and 5
!
6. Solve for 𝑥 : ! 𝑥 + 2 = 𝑥 − 4 A.
B.
C.
D.
8 13 15 23 7. Which value of 𝑝 is the solution of 5𝑝 − 1 = 2𝑝 + 20? A.
!"
!
!"
B. ! C. 3 D. 7 8. Which value of 𝑥 is the solution of 2𝑥 + 1 = 5𝑥 − 2? A. −1 !
B. ! !
C. ! D. 1 2 Learning Target #3: I can give examples of linear equations in one variable with
one solution, infinitely many solutions, or no solutions.
9. How many solutions does the equation, 3𝑥 + 2 = 3 𝑥 + 2 , have? A.
B.
C.
D.
No solution One solution Two solutions Infinitely many solutions 10. The equation, 2𝑥 + 2 = 2(𝑥 + 1), has A.
B.
C.
D.
No solution One solution Three solutions Infinitely many solutions 11. Which equation below has one solution? A.
B.
C.
D.
5𝑥 = 9 + 2𝑥 5𝑥 + 8 = 5(𝑥 + 3) 6𝑥 + 12 = 6(𝑥 + 2) −3𝑡 + 1 = 𝑡 + 9 − 4𝑡 12. How many solutions does the equation, 9𝑥 = 8 + 5𝑥, have? A.
B.
C.
D.
No solution
One solution
Infinitely many solutions
None of the above
Learning Target #4: I can solve systems of two linear equations in two variables
algebraically.
13. What is the solution of equations 𝑐 + 3𝑑 = 8 and 𝑐 = 4𝑑 − 6? A.
B.
C.
D.
𝑐
𝑐
𝑐
𝑐
= −14, 𝑑 = −2 = −2, 𝑑 = 2 = 2, 𝑑 = 2 = 14, 𝑑 = −2 14. What is the value of the 𝑦-­‐coordinate of the solution to the system of equations 𝑥 − 2𝑦 = 1 and 𝑥 + 4𝑦 = 7? A.
B.
C.
D.
1 −1 3 4 3 15. What is the solution of the system of equations 2𝑥 − 5𝑦 = 11 and −2𝑥 + 3𝑦 = −9? A.
B.
C.
D.
(−3, −1) (−1,3) (3, −1) (3,1) 16. What is the value of the 𝑦-­‐coordinate of the solution to the system of equations 𝑥 + 2𝑦 = 9 and 𝑥 − 𝑦 = 3? A.
B.
C.
D.
6 2 3 5 Learning Target #5: I can estimate solutions to a system of two linear equations
in two variables by graphing the equations.
17. A system of equations is graphed on the set of axes below. The solution of this system is A.
B.
C.
D.
(0,4) (2,4) (4,2) (8,0) 4 18. Two equations in a system are shown in the graph. Which of the following statements is true? A.
B.
C.
D.
The solution of the system is (0,6). The solution of the system is (3,3). The system has no solution. The system has infinitely many solutions. 19. What is the solution of the following system of equations? A.
B.
C.
D.
(0,1) !
(1 ! , 0) There is no solution. There are infinitely many solutions. 5 20. Which graph below has infinitely many solutions? A.
B.
C.
D.
6