Solving Linear Equations Steps

Solving Linear Equations Steps

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve an SAT math problem involving a proportion. The problem is set up as an equation with variables x and a. The solution involves cross-multiplying the terms, distributing them, and then isolating the variable a. The final solution is expressed as a = x/15. The tutorial provides a step-by-step approach to solving the equation, ensuring clarity in each step of the process.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial equation given in the SAT question?

(x - a) / 7 = (x + A) / 8

(x - a) / 8 = (x + A) / 7

(x + a) / 7 = (x - A) / 8

(x + a) / 8 = (x - A) / 7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation using cross-multiplication?

Add 8 to both sides

Subtract 7 from both sides

Multiply both sides by 7 and 8

Divide both sides by 7 and 8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After cross-multiplying, what is the expression obtained on the left side of the equation?

7 * x - 7 * a

7 * x + 7 * a

8 * x + 8 * a

8 * x - 8 * a

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression obtained on the right side of the equation after cross-multiplying?

8 * x - 8 * a

7 * x + 7 * a

8 * x + 8 * a

7 * x - 7 * a

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of cross-multiplying in this problem?

To eliminate fractions

To divide variables

To add variables

To subtract variables

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of distributing 7 on the left side of the equation?

8x + 8a

7x - 7a

8x - 8a

7x + 7a

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of distributing 8 on the right side of the equation?

7x + 7a

8x + 8a

8x - 8a

7x - 7a

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