Mod 3 Topic 2 Test Corrections

Answer explanation

To combine like terms, group the x terms and the constant terms: (4x - 2x) + (9 + 3) = 2x + 12. Thus, the correct answer is 2x + 12.

Tags

TEKS.MATH.7.3A

TEKS.MATH.7.3B

Answer explanation

To find the total cost, substitute x = 6 into the cost formula: 3(6) + 5 = 18 + 5 = 23. Thus, Mia spends a total of 23 dollars.

Tags

TEKS.MATH.7.3A

Answer explanation

Distributing gives 6(3x) + 6(2) - 4x = 18x + 12 - 4x. Combining like terms, 18x - 4x = 14x, so the final result is 14x + 12, which matches the correct answer.

Tags

TEKS.MATH.7.3A

TEKS.MATH.7.3B

Answer explanation

To combine like terms, subtract the coefficients of y: 9y - 3y = 6y. Then, combine the constants: 4 - 2 = 2. Thus, the result is 6y + 2, which matches the correct answer.

Tags

TEKS.MATH.7.3A

TEKS.MATH.7.3B

• 8

Answer explanation

Substituting x = 3 and y = 2 into the expression 4x - 3y + 2 gives 4(3) - 3(2) + 2 = 12 - 6 + 2 = 8. Therefore, the correct evaluation is 11.

Tags

TEKS.MATH.7.3A

TEKS.MATH.7.3B

Distribute:

5(3y-2+4x)

**PAY ATTENTION TO THE SIGNS**

• 15y-10+4x

• 25yx

• 15y-10+20x

• 15y+10+20x

Answer explanation

To distribute 5(3y - 2 + 4x), multiply each term inside the parentheses by 5: 5*3y = 15y, 5*(-2) = -10, and 5*4x = 20x. Combining these gives 15y - 10 + 20x, which matches the correct answer.

Tags

TEKS.MATH.7.3A

Match the following expressions with what it would be AFTER you distribute.

• 6(x -3)

• 6x +18

• -6 (x +3)

• -6x -18

• -6(x -3)

• -6x +18

• 6(x +3)

• 6x -18

Tags

TEKS.MATH.7.3A

Define what a coefficient is and what it does.

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Answer explanation

A coefficient is a numerical factor in a mathematical expression, often multiplying a variable. It quantifies the relationship between variables, indicating how much the variable contributes to the overall value.

Tags

TEKS.MATH.7.7A

What is a variable?

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Answer explanation

A variable is a symbolic name associated with a value and can change during program execution. It acts as a storage location in programming, allowing developers to store and manipulate data.

Grace is trying to understand the difference between an algebraic expression and an algebraic equation while working on her math homework. Can you explain the difference to her?

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Answer explanation

An algebraic expression is a combination of numbers, variables, and operations (like 2x + 3), while an algebraic equation states that two expressions are equal (like 2x + 3 = 7).