Basic Algebra

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What is the value of X in the equation X + 3 = 7?

X = 4

Simplify the expression: 3X + 4X.

7X

What is the first step to solve the equation 2(X - 3) = 8?

Distribute the 2 to both X and -3, making it 2X - 6 = 8.

If 5Y = 20, what is the value of Y?

Y = 4

Solve for Z: 7Z = 49.

Z = 7

What do you call an equation that contains a variable?

An algebraic equation.

What is the inverse operation of addition?

Subtraction.

In the equation X/5 = 3, what is X?

X = 15

What do you do first when solving the equation X - 4 = 10?

Add 4 to both sides to isolate X.

What is the solution to the equation X + X = 10?

X = 5

What do we call numbers that are added together?

Addends.

Solve the equation: 4X = 24.

X = 6

If X - 10 = 2, what is X?

X = 12

What is the term for a number that stands alone in an equation?

A constant.

In algebra, what is a letter used to represent a number called?

A variable.





Test Your Knowledge

Select the correct option


1. What is the value of X in the equation X + 3 = 7?

X = 3

X = 5

X = 2

X = 4

2. Simplify the expression: 3X + 4X.

7X

12X

1X

6X

3. What is the first step to solve the equation 2(X - 3) = 8?

Add 3 to both sides.

Subtract 8 from both sides.

Divide both sides by 2.

Distribute the 2 to both X and -3, making it 2X - 6 = 8.

4. If 5Y = 20, what is the value of Y?

Y = 2

Y = 5

Y = 4

Y = 10

5. Solve for Z: 7Z = 49.

Z = 6

Z = 7

Z = 5

Z = 9

6. What do you call an equation that contains a variable?

An algebraic equation.

A linear equation.

A polynomial equation.

An arithmetic equation.

7. What is the inverse operation of addition?

Subtraction.

Multiplication.

Division.

Square root.

8. In the equation X/5 = 3, what is X?

X = 10

X = 5

X = 25

X = 15

9. What do you do first when solving the equation X - 4 = 10?

Multiply both sides by 4.

Add 4 to both sides to isolate X.

Divide by 4.

Subtract 10 from both sides.

10. What is the solution to the equation X + X = 10?

X = 5

X = 10

X = 2

X = 1

11. What do we call numbers that are added together?

Addends.

Factors.

Products.

Differences.

12. Solve the equation: 4X = 24.

X = 12

X = 6

X = 8

X = 2

13. If X - 10 = 2, what is X?

X = 12

X = 8

X = 14

X = 15

14. What is the term for a number that stands alone in an equation?

A variable.

A constant.

A coefficient.

An exponent.

15. In algebra, what is a letter used to represent a number called?

A constant.

A function.

A factor.

A variable.