Solving Equations and Ratios

Solving Equations and Ratios

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers solving equations for different variables, including y, c, and v. It explains how to isolate these variables by manipulating equations, such as subtracting terms and dividing by coefficients. The tutorial also addresses handling fractions and emphasizes the importance of not combining distinct variables. Additionally, it explores ratio problems using marbles of different colors, demonstrating how to calculate and simplify ratios and solve proportions.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving for y in an equation?

Add all terms to one side

Multiply both sides by a constant

Get rid of fractions and distribute if necessary

Combine like terms

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After moving terms without y to the other side, what operation is used to isolate y?

Multiplication

Addition

Subtraction

Division

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation by = c - ax, what is the final expression for y?

y = (c - ax) / b

y = (c + ax) / b

y = c - ax

y = c / b - ax

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving for c, what is the first step if the equation contains fractions?

Divide by the common denominator

Add fractions to both sides

Multiply by the common denominator

Subtract fractions from both sides

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation 4a = a + b + c + d, what is the expression for c?

c = 4a - a - b - d

c = 4a + a + b + d

c = a + b + d - 4a

c = 4a - b + d

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do if you encounter different variables with the same letter but different cases?

Ignore the case difference

Treat them as different variables

Combine them as one variable

Add them together

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in isolating v in the equation vt = h + 16t^2?

Subtract 16t^2 from both sides

Multiply both sides by t

Add 16t^2 to both sides

Divide both sides by t

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