Q: SOLVE: 3X = 12. WHAT IS X?

X = 4. Divide both sides by 3. 12 ÷ 3 = 4, so X = 4.

Q: WHICH IS A LINEAR EQUATION?

Y = 2X + 1. Linear means the highest power of X is 1. Y = 2X + 1 fits; Y = X² is quadratic and Y = 1/X is a reciprocal.

Q: AN EQUATION WITH HIGHEST POWER 1 IS CALLED ___.

LINEAR. Linear equations have X to the power 1, not X² or higher.

Q: EXPAND: 3(X + 2)

3X + 6. Multiply 3 by each term inside the bracket: 3 × X = 3X and 3 × 2 = 6.

Q: SIMPLIFY: 2X + 3X

5X. Collect like terms: 2X + 3X = (2 + 3)X = 5X.

Q: AN EQUATION WITH HIGHEST POWER 2 IS CALLED ___.

QUADRATIC. Quadratic equations have X² as the highest power.

Q: THE LETTER USED FOR AN UNKNOWN VALUE IS THE ___.

VARIABLE. A variable is a letter (like X or Y) representing an unknown.

Q: FACTORISE: X² + 5X + 6

(X + 2)(X + 3). Find two numbers that multiply to 6 and add to 5: those are 2 and 3.

Q: SOLVE: X² = 49

X = ±7. Square-root both sides: X = ±√49 = ±7. Don't forget the negative root.

Q: SIMPLIFY: X⁵ ÷ X²

X³. Dividing same base: subtract the powers. X⁵⁻² = X³.

Question 1

SOLVE: 3X = 12. WHAT IS X?

Accepted Answer

X = 4

Question 2

WHICH IS A LINEAR EQUATION?

Accepted Answer

Y = 2X + 1

Question 3

AN EQUATION WITH HIGHEST POWER 1 IS CALLED ___.

Accepted Answer

LINEAR

Question 4

EXPAND: 3(X + 2)

Accepted Answer

3X + 6

Question 5

SIMPLIFY: 2X + 3X

Accepted Answer

5X

Question 6

AN EQUATION WITH HIGHEST POWER 2 IS CALLED ___.

Accepted Answer

QUADRATIC

Question 7

THE LETTER USED FOR AN UNKNOWN VALUE IS THE ___.

Accepted Answer

VARIABLE

Question 8

SOLVE: 2X + 5 = 13

Accepted Answer

X = 4

Question 9

IF Y = 3X − 4 AND X = 5, FIND Y

Accepted Answer

Y = 11

Question 10

IN X² + 5X + 6, THE COEFFICIENT OF X IS ___.

Accepted Answer

FIVE

Question 11

FACTORISE: X² + 5X + 6

Accepted Answer

(X + 2)(X + 3)

Question 12

EXPAND: (X + 3)(X − 2)

Accepted Answer

X² + X − 6

Question 13

WRITING X² + 5X + 6 AS (X+2)(X+3) IS CALLED ___.

Accepted Answer

FACTORISING

Question 14

SOLVE: X² = 49

Accepted Answer

X = ±7

Question 15

THE OPPOSITE OF FACTORISING IS ___.

Accepted Answer

EXPANDING

Question 16

SIMPLIFY: X⁵ ÷ X²

Accepted Answer

X³

Question 17

SIMPLIFY: (X³)²

Accepted Answer

X⁶

Question 18

A FIXED VALUE LIKE 7 OR −3 IS CALLED A ___.

Accepted Answer

CONSTANT

Question 19

SOLVE: X² − 7X + 12 = 0

Accepted Answer

X = 3 OR 4

Question 20

IF 2X − Y = 7 AND X + Y = 5, FIND X

Accepted Answer

X = 4

Question 21

IN Y = MX + C, M IS THE SLOPE, ALSO CALLED THE ___.

Accepted Answer

GRADIENT

Question 22

REARRANGE Y = MX + C FOR X

Accepted Answer

X = (Y − C)/M

Question 23

IN Y = MX + C, C IS THE Y-___.

Accepted Answer

INTERCEPT

Question 24

SOLVE: 2X − 3 > 5

Accepted Answer

X > 4

Question 25

X² + Y² = 25 IS THE EQUATION OF A ___.

Accepted Answer

CIRCLE

ALGEBRA AND EQUATIONS

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