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Grade 6 Mathematics Final Exam (Pre-Algebra)

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This exam was created by a large language model. Please use it with caution, as inaccuracies may be present. Always verify critical information.

In a bag, there are 15 red marbles and 25 blue marbles. What is the ratio of red marbles to blue marbles in simplest form?

Select one option

15 to 25

5 to 3

3 to 5

25 to 15

Which ratio is equivalent to $3:5$ ?

Select one option

3:10

5:3

6:10

9:12

If 2 apples cost $1.50, how much would 8 apples cost?

Select one option

$3.00

$4.50

$6.00

$12.00

Solve for $x$ : $\frac{x}{5} = \frac{12}{6}$

Select one option

$10

$12$

What is $\frac{3}{4}$ as a percentage?

Select one option

$25\%$

$50\%$

$75\%$

$100\%$

What is $20\%$ of $90$ ?

Select one option

$9$

$18$

$20$

$45$

Which integer is neither positive nor negative?

Select one option

$-1$

$0$

$1$

None of the above

Order the following integers from least to greatest: $3, -2, 7, 0, -5$

Select one option

$-5, -2, 0, 3, 7$

$-2, -5, 0, 3, 7$

$7, 3, 0, -2, -5$

$0, -2, 3, -5, 7$

Which of the following statements about absolute value is true?

Select one option

$|-8| = -8$

$|5| = -5$

$|-8| = 8$

$|0| =$ undefined

10.

Evaluate the expression $2x + 6$ when $x = 3$ .

Select one option

$9$

$12$

$15$

$18$

11.

Which of the following is an equation?

Select one option

$2 + 3$

$y + 7$

$x - 5 = 10$

$4 \times 6$

12.

Solve the equation: $x - 4 = 5$

Select one option

$x = 1$

$x = 5$

$x = 9$

$x = 20$

13.

A school has a student-to-teacher ratio of $20:1$ . If there are $360$ students, how many teachers does the school need? Show all your work for full credit.

14.

A shirt is originally priced at $40. It is on sale for$ 30%$ off. What is the sale price of the shirt? Show all your work for full credit.

15.

The temperature at noon was $2$ degrees Celsius. By midnight, the temperature dropped by $10$ degrees Celsius. What was the temperature at midnight? Show all your work for full credit.

16.

Write an algebraic expression for 'a number increased by seven'. Use the variable $n$ .

17.

Solve the equation: $y \div 8 = 9$ . Show all your work for full credit.

18.

In a class of $40$ students, the ratio of boys to girls is $3:2$ . How many boys are in the class? Show all your work for full credit.