options: Represent and analyze quantitative relationships between dependent and independent variables.

Solve equations and inequalities in one variable.

Represent and solve problems involving addition and subtraction.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Analyze patterns and relationships.

Generate and analyze patterns.

Solve systems of equations.

Understand solving equations as a process of reasoning and explain the reasoning.

Understand and apply properties of operations and the relationship between addition and subtraction.

Use properties of operations to generate equivalent expressions.

Understand the connections between proportional relationships, lines, and linear equations.

Work with radicals and integer exponents.

Understand the relationship between zeros and factors of polynomials.

Create equations that describe numbers or relationships

Interpret the structure of expressions.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Represent and solve equations and inequalities graphically.

Write and interpret numerical expressions.

Reason about and solve one-variable equations and inequalities.

Work with addition and subtraction equations.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Gain familiarity with factors and multiples.

Use the four operations with whole numbers to solve problems.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Write expressions in equivalent forms to solve problems.

Add and subtract within 20.

Work with equal groups of objects to gain foundations for multiplication.

Perform arithmetic operations on polynomials.

Multiply and divide within 100.

Represent and solve problems involving multiplication and division.

Use polynomial identities to solve problems.

Rewrite rational expressions.

Understand properties of multiplication and the relationship between multiplication and division.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
problem_activity: Problem 1
Quiana measures the width of her doorway entrance using a measuring tape. She measures the width as 33 inches. She later finds a better tape measure that measures to the nearest half of an inch. After re-measuring, she determines that the actual measure of the doorway is 32 ½ inches.
a.   What is the amount of error from using the first measuring tape?
b.   What is the error as a percentage of the actual width?
Problem 2
Paul and Kimberly both estimate the weight of their dogs before bringing them to the vet. The table below shows each of their estimates along with the actual weights of the dogs from the vet’s office.
|                | **           Estimate (lbs.)          ** | **           Actual (lbs.)          ** |
|----------------|------------------------------------------|----------------------------------------|
|   Paul's dog   |                    10                    |                  11.5                  |
| Kimberly's dog |                    84                    |                  82.5                  |
Paul notices that both his and Kimberly’s estimates were only 1.5 pounds off from the actual weights. Paul says that means his estimate was as good as Kimberly’s estimate.
Do you agree with Paul? Find the percent error for each person’s guess of their dog’s weight, and use it in your answer.
Problem 3
In science class, Justine measured a rock sample and found it to be 15 grams. Her teacher told her that the scale is off and the actual weight is 0.3 grams more than her measurement.
What is the percent error? Give your answer to the nearest percent.


correct_option_index: 33