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Algebra I Readiness Questions — 9th Grade Algebra (Answer Key Included)

Questions
Grade 9
English

Algebra I Readiness Questions — 9th Grade Algebra (Answer Key Included)

Name: __________________________ Date: __________________________

Directions

This readiness check is designed to help your teacher understand which Pre-Algebra skills you have mastered and which areas we should review as we begin Algebra I. This is a planning tool, not a graded test. Please show your work for every problem.

1. Integer Operations Evaluate the following expression:

Skill: Integer Operations
2. Order of Operations Simplify the expression using the correct order of operations:

Skill: Order of Operations
3. Evaluating Expressions Evaluate the expression below when

:

Skill: Evaluating Expressions
4. Solving One-Step Equations Solve for

:

Skill: Solving One-Step Equations
5. Solving Two-Step Equations Solve for

:

Skill: Solving Two-Step Equations
6. Identifying Points on a Coordinate Plane Use the graph below to answer the question.
fig 1: A coordinate plane showing a labeled point A.
fig 1: A coordinate plane showing a labeled point A.

1. What are the coordinates of point A?
A. (-4, 3) B. (4, -3) C. (-3, 4) D. (3, -4) Skill: Graphing Points
7. Interpreting Line Graphs A car travels at a constant speed. The graph below shows the distance traveled over time.
fig 2: A line graph showing Distance (miles) vs. Time (hours).
fig 2: A line graph showing Distance (miles) vs. Time (hours).

8. Based on the graph, how many miles has the car traveled after 4 hours?
A. 180 miles B. 240 miles C. 300 miles D. 120 miles Skill: Interpreting Graphs
8. Slope in Context Refer back to Graph 2 above. In your own words, describe what the slope of the line represents in this real-world scenario.

Skill: Contextual Slope
9. Patterns and Rules Look at the table below and determine the pattern.
x
y
1
3
2
5
3
7
4
?
a) What is the value of

when

? b) Write a rule (equation) that shows the relationship between

and

.
Skill: Linear Patterns
10. Proportional Reasoning If 5 pounds of apples cost $7.50 at the grocery store, how much would it cost to buy 8 pounds of apples at the same rate?

Skill: Proportional Reasoning
11. Identifying Proportional Relationships A proportional relationship must be linear and pass through the origin

.
fig 3: Four different graphs labeled A, B, C, and D.
fig 3: Four different graphs labeled A, B, C, and D.

12. Which of the graphs above represents a proportional relationship?
A. Graph B B. Graph A C. Graph C D. Graph D Skill: Proportional Relationships
12. Translating Verbal Statements Translate the following verbal statement into a mathematical equation:
"Five less than three times a number is equal to nineteen."

Skill: Translating Expressions/Equations

Algebra I Readiness Questions — 9th Grade Algebra (Answer Key Included)

Name: __________________________ Date: __________________________

Directions

This readiness check is designed to help your teacher understand which Pre-Algebra skills you have mastered and which areas we should review as we begin Algebra I. This is a planning tool, not a graded test. Please show your work for every problem.

1. Integer Operations Evaluate the following expression:

2. Order of Operations Simplify the expression using the correct order of operations:

3. Evaluating Expressions Evaluate the expression below when

:

4. Solving One-Step Equations Solve for

:

5. Solving Two-Step Equations Solve for

:

6. Identifying Points on a Coordinate Plane Use the graph below to answer the question.
fig 1: A coordinate plane showing a labeled point A.
fig 1: A coordinate plane showing a labeled point A.

1. What are the coordinates of point A?
A. (-4, 3) B. (3, -4) C. (4, -3) D. (-3, 4) 7. Interpreting Line Graphs A car travels at a constant speed. The graph below shows the distance traveled over time.
fig 2: A line graph showing Distance (miles) vs. Time (hours).
fig 2: A line graph showing Distance (miles) vs. Time (hours).

8. Based on the graph, how many miles has the car traveled after 4 hours?
A. 240 miles B. 300 miles C. 120 miles D. 180 miles 8. Slope in Context Refer back to the graph in Question 7. In your own words, describe what the slope of the line represents in this real-world scenario.

9. Patterns and Rules Look at the table below and determine the pattern.
x
y
1
3
2
5
3
7
4
?
a) What is the value of

when

? b) Write a rule (equation) that shows the relationship between

and

.
10. Proportional Reasoning If 5 pounds of apples cost $7.50 at the grocery store, how much would it cost to buy 8 pounds of apples at the same rate?

11. Identifying Proportional Relationships A proportional relationship must be linear and pass through the origin

.
fig 3: Four different graphs labeled A, B, C, and D.
fig 3: Four different graphs labeled A, B, C, and D.

12. Which of the graphs above represents a proportional relationship?
A. Graph C B. Graph B C. Graph D D. Graph A 12. Translating Verbal Statements Translate the following verbal statement into a mathematical equation:
"Five less than three times a number is equal to nineteen."