Quiz about Equations and Real-World Problems Quiz

Question 1

Which equation correctly models the following situation? "Twice a number minus 5 is equal to the number plus 7."

Accepted Answer

$$2x - 5 = x + 7$$

Answer

$$2x + 5 = x - 7$$

Answer

$$x - 5 = 2x + 7$$

Answer

$$2x - 5 = 7x + 1$$

Question 2

Solve for $$x$$ : $$3x + 4 = 2x + 10$$

Accepted Answer

$$x = 6$$

Answer

$$x = 14$$

Answer

$$x = 2$$

Answer

$$x = -6$$

Question 3

Write a real-world problem that could be represented by the equation $$5x + 2 = 3x + 10$$ .

Accepted Answer

"You earn $$5 per hour plus a $$ 2 bonus. Your friend earns $$3 per hour plus a $$ 10 bonus. After how many hours will you both have earned the same amount?"

Answer

"You have 5 apples and buy 2 more. Your friend has 3 apples and buys 10 more. How many apples do you both have together?"

Answer

"You have 5 candies and eat 2. Your friend has 3 candies and eats 10. Who has more left?"

Answer

"You have 5 pencils and give away 2. Your friend has 3 pencils and gives away 10. Who has more pencils left?"

Question 4

Convert $$0.00056$$ to scientific notation.

Accepted Answer

$$5.6 imes 10^{-4}$$

Answer

$$5.6 imes 10^{-3}$$

Answer

$$5.6 imes 10^{-5}$$

Answer

$$5.6 imes 10^{4}$$

Question 5

Which of the following is the best approximation for $$\sqrt{50}$$ ?

Accepted Answer

$$7.1$$

Answer

$$6.7$$

Answer

$$8.2$$

Answer

$$5.5$$

Question 6

Which equation represents: "Four times a number plus 3 is equal to twice the number minus 5"?

Accepted Answer

$$4x + 3 = 2x - 5$$

Answer

$$4x - 3 = 2x + 5$$

Answer

$$4x + 3 = 2x + 5$$

Answer

$$4x - 3 = 2x - 5$$

Question 7

Solve for $$x$$ : $$4x - 7 = 2x + 5$$

Accepted Answer

$$x = 6$$

Answer

$$x = 1$$

Answer

$$x = -6$$

Answer

$$x = 2$$

Question 8

Which real-world scenario matches the equation $$7x + 3 = 5x + 11$$ ?

Accepted Answer

"You buy $$7$$ packs of cards and get $$3$$ free. Your friend buys $$5$$ packs and gets $$11$$ free. After how many packs will you both have the same number?"

Answer

"You have 7 candies and eat 3. Your friend has 5 candies and eats 11."

Answer

"You have $$7$$ dollars and spend $$3$$ . Your friend has $$5$$ dollars and spends $$11$$ ."

Answer

"You have $$7$$ pencils and give away $$3$$ . Your friend has $$5$$ pencils and gives away $$11$$ ."

Question 9

Convert $$3.45 imes 10^5$$ to standard decimal notation.

Accepted Answer

$$345,000$$

Answer

$$34,500$$

Answer

$$3,450,000$$

Answer

$$345,000,000$$

Question 10

Which of the following is the best approximation for $$\sqrt{80}$$ ?

Accepted Answer

$$8.9$$

Answer

$$9.5$$

Answer

$$8.2$$

Answer

$$7.8$$

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics