Expressions and One-Step Equations

2(4X-7)

• 8x-14

• 8x-7

• 6x+7

• 8x+14

Answer explanation

The question asks to simplify the expression '2(4X-7)'. To do this, we apply the distributive property of multiplication over subtraction. We multiply 2 with each term inside the bracket. So, '2*4X' gives '8X' and '2*(-7)' gives '-14'. Therefore, the simplified expression is '8x-14', which corresponds to the correct option '8x-14'.

Tags

CCSS.6.EE.A.3

17 = x + 3

• x = 20

• x = 14

• x = 13

• x = 19

Answer explanation

The question is asking for the value of x in the equation '17 = x + 3'. If we rearrange this equation to find x, we subtract 3 from both sides of the equation, which gives us 'x = 14'. Therefore, the correct answer is 'x = 14'.

Tags

CCSS.6.EE.B.7

x - 32 = 49

• x = 17

• x = 71

• x = 81

• x = 49

Answer explanation

The given question is 'x - 32 = 49'. To solve this, we need to add 32 to both sides. The calculation yields 'x = 81', which corresponds to one of the options, confirming 'x = 81' is the correct answer.

Tags

CCSS.6.EE.B.7

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side. 

• Subtract 62 from each side.

• Multiply each side by 62.

• Add 123 to each side.

Answer explanation

The question asks to isolate the variable 'x' in the equation 'x - 62 = 123'. The correct action is to 'Add 62 to each side' of the equation. When you perform this action, the equation becomes 'x = 185', solving the equation.

Tags

CCSS.6.EE.B.7

6b = 30

• b = 36

• b = 24

• b = 180

• b = 5

Answer explanation

The question asks for the value of 'b' in the equation '6b = 30'. To find the value of 'b', we need to divide 30 by 6, which gives us 5. Therefore, the correct option is 'b = 5'.

Tags

CCSS.6.EE.B.7

• x = 20

• x = 7

• x = 10

• x = 3

Answer explanation

The question asks us to solve for x given the equation x/5 = 2. By multiplying both sides of the equation by 5, we get that x = 5 * 2, which simplifies to x = 10. So, the correct answer is 'x = 10'.

Tags

CCSS.6.EE.B.7

What is the correct step to solve for the variable?
15 = m - 5

• add 15 to both sides

• add 5 to both sides

• subtract 15 from both sides

• subtract 5 from both sides

Answer explanation

The equation given in the question is 15 = m - 5. To isolate the variable 'm', we need to eliminate '-5' from the right side of the equation. We do this by performing the inverse operation, which in this case is addition. Hence, we 'add 5 to both sides' to solve for 'm'. This is the correct choice among the given options.

Tags

CCSS.6.EE.B.7

The variable, k, is being divided by 11. How should you show your work to isolate the variable?

• Divide both sides by 11

• Multiply both sides by 11.

• Add 11 to both sides.

• Subtract 11 to both sides.

Tags

CCSS.6.EE.B.7

Combime Like Terms:

6x + 1 + 7x 

• 13x - 1

• 14x 

• 7x + 6x + 1 

• 13x + 1 

Answer explanation

The question asks to combine like terms. In this case, we combine the 'x' terms (6x and 7x) together. That gives us 13x. The remaining term is +1. So when we combine all the terms together, we get 13x + 1, which is the correct answer.

Tags

CCSS.7.EE.A.1

Simplify by combining like terms:
5a + 2b - 3a + 4

• 8a + 2b + 4

• 2a + 2b + 4

• 8ab

• 4ab + 4

Answer explanation

We start the simplification by combining like terms from the question. We have terms '5a' and '-3a' which simplify to '2a'. The term '2b' remains the same as there are no like terms, and the constant '4' also remains as it is. So, the simplified expression becomes '2a + 2b + 4', which corresponds to the correct answer.

Tags

CCSS.7.EE.A.1