Expressions and One Step Equations

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

Simplify the expression: 7v + 2 + 12 + 2v

• 23

• 23v

• 9 + 14v

• 9v + 14

Answer explanation

The question asks to simplify the expression: 7v + 2 + 12 + 2v. By rearranging, we can group the constants together and the variables together, which gives us 7v + 2v + 2 + 12. Simplifying further, we get 9v + 14, which is the correct answer.

Tags

CCSS.7.EE.A.1

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

-4(-4d - 5)

• -16d+20

• 16+20

• 16d+20

• 16s-20

Answer explanation

The question is asking for the product of -4 and the expression (-4d - 5). Distributing -4 to all terms within the parentheses gives 16d + 20, which is the correct answer. This matches the option '16d+20'.

Tags

CCSS.6.EE.A.3

-(3v - 8)

• -3v-8

• 3v-8

• -3v+8

• 6v+8

Answer explanation

The question asks us to solve the expression -1 times (3v - 8). According to the distributive property of multiplication over subtraction, we multiply -1 with each term inside the parenthesis. This changes the signs of each term, converting '3v' to '-3v' and '-8' to '8'. Hence, the correct option is '-3v+8'.

Tags

CCSS.6.EE.A.3

x + 12 = 20

• x = 32
• x = -32
• x = 8
• x = -8

Tags

CCSS.6.EE.B.7

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