Download Pre-Test - UC CEAS

Name:_________________________________________________________
Unit 2: Pre-Test/Post-Test
Common Core State Standards
Question
Numbers
Pre-Test
#
Correct
Question
Numbers
PostTest #
Correct
A-REI.A.1 Explain each step in solving a simple
equation as following from the equality of numbers
asserted at the previous step, starting from the
assumption that the original equation has a
solution. Construct a viable argument to justify a
solution method.
2, 3, 5
___/10
2, 3, 5
___/10
A-REI.B.3 Solve linear equations and inequalities
in one variable, including equations with
coefficients represented by letters.
6
___/3
6
___/3
1, 7
___/5
1, 7
___/5
4
___/2
4
___/2
A-CED.A.1 Create equations and inequalities in
one variable and use them to solve problems.
A-CED.A.3 Represent constraints by equations or
inequalities, and by systems of equations and/or
inequalities, and interpret solutions as viable or
non-viable options in a modeling context.
Pre-Test
____/20
_______%
Post-Test
____/20
_______ %
Percent of Increase or Decrease: _______%
Mastered
Name_______________________________________________________ Date____________________
Algebra I Pre-Test (Source: College Board – Springboard Algebra I textbook)
1. A cab company charges a flat rate of $2 plus an additional $0.50 for every mile traveled. (3
pts)
a. Write an expression that can be used to determine the total cab fare for a distance of
m miles.
b. When Sara arrived at your destination, her cab fare was $7.50. Write an equation to
represent this situation. How many miles did Sara travel?
2. Manuel’s age is twice Gupta’s age minus 5. The sum of Manuel’s age and Gupta’s age is
31. Use this information for a. and b. (2 pts)
a. Let g represent Gupta’s age. You can solve the equation 2g - 5 + g = 31 to find g. Which
property would not be used in solving this equation?
A. Addition Property of Equality
B. Commutative Property of Addition
C. Division Property of Equality
D. Subtraction Property of Equality
b. How old is Manuel?
3. To solve the equation 3x - 7 = x - 2, Alex says the first step is to subtract x from both sides.
Danny says the first step is to add 7 to both sides. (6 pts)
a. Solve the equation using Alex’s method of first subtracting x from both sides.
b. Solve the equation using Danny’s method of first adding 7 to both sides.
c. Who is correct, Alex or Danny? Justify your answer.
d. Is there another correct first step for solving this equation? If so, identify another first step
and use it to solve the equation. If not, explain why not.
4. Jordan has been offered two summer jobs. One job is at the mall and pays $7 per hour.
The other job is with your neighbor, who will pay $50 per week plus $5 per hour. How many
hours per week would Jordan have to work for both jobs to pay the same amount? (2 pts)
5. Solve the equation below using the algebraic method. State a property or provide an
explanation for each step. Check your solutions. (2 pts)
Equation
Property or Explanation for each step
3x − 24 = −6
6. Solve each equation for x. (3 pts)
a) ax + 7 = 3
b) 4x − 5 + 2x = −2
c) 8x + 5 = 3x + 15
7. Riley and Rhoda plan to buy several bags of dog food and a dog collar. Each bag of dog
food costs $7, and the dog collar costs $5. Use the information to write an expression for the
amount of money they will spend if they buy b bags of food. Riley and Rhoda have $30. Use
this information and the expression to write an inequality for finding the number of bags of
food they could buy. (2 pts)