Stephanie attempted to solve the equation $5 - 3k = 2(k - 5)$. Her work is shown below.

Step 1: $5 - 3k = 2k - 10$
Step 2: $5 = 5k - 10$
Step 3: $-5 = 5k$
Step 4: $-1 = k$

Based on the information provided, which statement justifies why her solution is incorrect?

Which two expressions represent rational numbers?

The sum of an irrational number and a rational number is irrational.

What is the best explanation for this?

Consider the equation $x + y = z$.

If $z$ is a rational number, which statement must not be true?

Let $x$ and $y$ be rational numbers, and let $z$ be an irrational number.

For each expression on the left, select the column to show whether the expression is always rational, sometimes rational, or never rational.

Samuel needs to solve the equation $4(x - 2) + 2 = 4x - 8$.

Which equations represent a first step Samuel could use to solve the original equation? Select all that apply.

Harper has an amount of money saved that can be represented by the expression $4x + 16$. Her friend Margaret has savings represented by the expression $8x + 32$. Which describes how Margaret's amount of money saved compares to Harper's amount saved?

Use the following expressions to answer the question below.



Which statement would be true?

Venus is trying to solve the equation $15 + 5x = 7 + 7x$.

The next step in her work is as shown: $5x = 22 + 7x$

Which answer accurately explains why this step is correct or incorrect?

Ruby claims to have correctly solved $3(x + 4) = 1 - (2x - 9)$ using the steps below.

Step 1: $3x + 12 = 1 - (2x - 9)$
Step 2: $3x + 12 = 1 - 2x - 9$
Step 3: $3x + 12 = -8 - 2x$
Step 4: $5x + 12 = -8$
Step 5: $5x = -20$
Step 6: $x = -4$

One of Ruby’s steps contains a mistake. Which step is incorrect? (Input the # of the step only)

Curtis needed to solve the equation $8x + 4 = 20$ by using math properties he learned in class.

Which statement is true?

What are the algebraic terms in the expression below?

$-4x^{2}y^{3} + xy - 5$

If P and S are rational numbers and R and Q are irrational numbers, which of these statements is true?