Patterns And Relations (7)

Question 1

Extend the pattern: 2, 4, 6, 8, …

Answer 1

10, 12, 14, …

Question 2

Extend the pattern: 3, 6, 12, 24, …

Answer 2

48, 96, 192, …

Question 3

Extend the pattern: 10, 7, 4, 1, …

Answer 3

-2, -5, -8, …

Question 4

Simplify the expression: 5x + 3x

Answer 4

8x

Question 5

Simplify the expression: 7y - 2y + 5

Answer 5

5y + 5

Question 6

Simplify the expression: 3(a + 4)

Answer 6

3a + 12

Question 7

Solve for x: x + 7 = 12

Answer 7

x = 5

Question 8

Solve for y: 3y - 4 = 11

Answer 8

3y = 15 → y = 5

Question 9

Solve for x: 5x + 2 = 17

Answer 9

5x = 15 → x = 3

Question 10

A number is increased by 8 and then doubled. Write an expression for this operation.

Answer 10

2(x + 8)

Question 11

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

Answer 11

2z - 6 = 10 → 2z = 16 → z = 8

Question 12

Evaluate the expression 4a + 3 when a = 5

Answer 12

4(5) + 3 = 23

Question 13

Evaluate 5x - 7 when x = 4

Answer 13

5(4) - 7 = 13