Quiz about Algebra - Expand Single Brackets and Collect

Question 1

Expand the bracket: $$3(x + 4)$$ .

Accepted Answer

$$3x + 12$$

Answer

$$3x + 4$$

Answer

$$x + 7$$

Answer

$$3x^2 + 12$$

Question 2

Simplify by collecting like terms: $$5y + 3y$$ .

Accepted Answer

$$8y$$

Answer

$$15y$$

Answer

$$2y$$

Answer

$$8y^2$$

Question 3

Expand the bracket: $$-2(a - 5)$$ .

Accepted Answer

$$-2a + 10$$

Answer

$$-2a - 10$$

Answer

$$-2a + 5$$

Answer

$$2a - 10$$

Question 4

Simplify by collecting like terms: $$4x - 2x + x$$ .

Accepted Answer

$$3x$$

Answer

$$2x$$

Answer

$$x$$

Answer

$$6x$$

Question 5

In a Formula 1 race, Lewis Hamilton completes a lap in $$t$$ seconds and his rival completes it in $$(t + 5)$$ seconds. Write an expression for the total time taken by both drivers to complete 3 laps.

Accepted Answer

$$3t + 15$$

Answer

$$6t + 15$$

Answer

$$3t + 5$$

Answer

$$6t + 5$$

Question 6

Expand the bracket: $$5(2k - 3)$$ .

Accepted Answer

$$10k - 15$$

Answer

$$10k + 15$$

Answer

$$7k$$

Answer

$$10k - 3$$

Question 7

Simplify by collecting like terms: $$7m + 3m - 4m$$ .

Accepted Answer

$$6m$$

Answer

$$10m$$

Answer

$$4m$$

Answer

$$m$$

Question 8

Identify the algebraic variable in the expression: $$4n^3 - 5n + 7$$ .

Accepted Answer

$$n$$

Answer

$$4$$

Answer

$$3$$

Answer

$$7$$

Question 9

In Genshin Impact, if a character deals $$x$$ damage with a normal attack and double that damage with a charged attack, write an expression for the total damage dealt after 3 normal attacks and 2 charged attacks.

Accepted Answer

$$3x + 2(2x)$$

Answer

$$5x$$

Answer

$$7x$$

Answer

$$x + 2x$$

Question 10

Expand the bracket: $$-4(z - 2)$$ .

Accepted Answer

$$-4z + 8$$

Answer

$$-4z - 8$$

Answer

$$-4z + 2$$

Answer

$$4z - 8$$

Question 11

Simplify by collecting like terms: $$9p - 5p + 2p$$ .

Accepted Answer

$$6p$$

Answer

$$4p$$

Answer

$$16p$$

Answer

$$6p + 2$$

Question 12

Expand the bracket: $$7(3y + 2)$$ .

Accepted Answer

$$21y + 14$$

Answer

$$21y + 2$$

Answer

$$10y$$

Answer

$$21y^2 + 14$$

Question 13

Simplify by collecting like terms: $$12r - 7r + 3r$$ .

Accepted Answer

$$8r$$

Answer

$$5r$$

Answer

$$18r$$

Answer

$$8r + 3$$

Question 14

Identify the algebraic variable in the expression: $$5x^2 - 3x + 8$$ .

Accepted Answer

$$x$$

Answer

$$5$$

Answer

$$2$$

Answer

$$8$$

Question 15

In a Formula 1 qualifying session, if Max Verstappen completes a sector in $$s$$ seconds and his teammate completes it in $$(s + 2)$$ seconds, write an expression for the total time taken by both drivers to complete 4 sectors.

Accepted Answer

$$8s + 8$$

Answer

$$4s + 2$$

Answer

$$4s + 8$$

Answer

$$8s + 2$$

Question 16

Expand the bracket: $$2(3m + 4)$$ .

Accepted Answer

$$6m + 8$$

Answer

$$5m + 8$$

Answer

$$6m + 4$$

Answer

$$2m + 8$$

Question 17

In a video game, if a player earns $$p$$ points for a win and loses $$3p$$ points for a defeat, write an expression for the net points after 4 wins and 2 defeats.

Accepted Answer

$$4p - 2(3p)$$

Answer

$$4p - 6p$$

Answer

$$p - 2(3p)$$

Answer

$$8p$$

Question 18

Simplify by collecting like terms: $$8z + 4z - 3z$$ .

Accepted Answer

$$9z$$

Answer

$$12z$$

Answer

$$8z$$

Answer

$$z$$

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