Patterns And Relations (8)

Question 1

Simplify the expression: 3x + 5x

Answer 1

8x

Question 2

Simplify the expression: 7y - 4y + 2

Answer 2

3y + 2

Question 3

Simplify using the distributive property: 2(a + 3)

Answer 3

2a + 6

Question 4

Simplify using the distributive property: 3(2x + 5)

Answer 4

6x + 15

Question 5

Solve for x: x + 7 = 12

Answer 5

x = 5

Question 6

Solve for y: 3y - 4 = 11

Answer 6

3y = 15 → y = 5

Question 7

Solve for x: 5x + 2 = 17

Answer 7

5x = 15 → x = 3

Question 8

Solve for z: 2(z - 3) = 10

Answer 8

2z - 6 = 10 → 2z = 16 → z = 8

Question 9

Identify the next number in the sequence: 2, 4, 6, 8, …

Answer 9

10

Question 10

Identify the next number in the sequence: 3, 6, 12, 24, …

Answer 10

48

Question 11

Identify the next number in the sequence: 10, 7, 4, 1, …

Answer 11

-2

Question 12

A number is increased by 7 and then doubled. Write an expression for this operation.

Answer 12

2(x + 7)

Question 13

Solve for x: 4x - 3 = 9

Answer 13

4x = 12 → x = 3

Question 14

Solve for y: 5 + 3y = 20

Answer 14

3y = 15 → y = 5

Question 15

Solve for x: 6 - 2x = 10

Answer 15

-2x = 4 → x = -2

Question 16

Evaluate the expression 3a + 2 when a = 5

Answer 16

17

Question 17

Evaluate 4x - 7 when x = 3

Answer 17

5