SSAT Middle Level Math : How to find the solution to an equation
Study concepts, example questions & explanations for SSAT Middle Level Math
All SSAT Middle Level Math Resources
Example Questions
Example Question #41 : How To Find The Solution To An Equation
Solve for 
Add 2 to both sides of the inequality:
Divide both sides by 4:
Example Question #42 : How To Find The Solution To An Equation
If 
To solve for the equation, 
Thus, in the equation 
Thus, 15 is he correct answer.
Example Question #61 : Word Problems
Marcia is four times as old as her daughter Janice. In twelve years, Janice will be 20 years old. In how many years will Marcia be three times as old as Janice?
Janice will be 20 years old in 12 years, so she is 
Let 
Example Question #43 : How To Find The Solution To An Equation
Twenty added to one-fourth of a number is equal to fifty-six. What is the number?
The correct answer is not among the other choices.
If we let 
"Twenty added to one-fourth of a number" can be written as
Set this equal to fifty-six and solve for 
Example Question #44 : How To Find The Solution To An Equation
Which of the following phrases can be written as the algebraic expression 
The correct answer is not given among the other responses.
Ninety-nine decreased by the product of seven and a number
The product of seven and a number decreased by ninety-nine
The difference of a number and seven multiplied by ninety-nine
The difference of seven and a number multiplied by ninety-nine
Ninety-nine decreased by the product of seven and a number
Therefore, the 
Example Question #44 : Equations
Fifty-four subtracted from one-sixth of a number is equal to twelve. What is the number?
If we let 
"Fifty-four subtracted from one-sixth of a number" can be written as
Set this equal to twelve, and solve for 
Example Question #45 : How To Find The Solution To An Equation
Which of the following phrases can be written as the algebraic expression 
The correct answer is not given among the other responses.
Nine mutiplied by the difference of eighty-six and a number
The product of nine and a number subtracted from eighty-six
Nine mutiplied by the difference of a number and eighty-six
Eighty-six subtracted from the product of nine and a number
Nine mutiplied by the difference of eighty-six and a number
Subsequently, 
Example Question #3 : Write Expressions That Record Operations With Numbers And With Letters : Ccss.Math.Content.6.Ee.A.2a
Which of the following phrases can be written as the algebraic expression 
The sum of a number and three subtracted from seventy-six
The difference of three and a number added to seventy-six
The difference of a number and three added to seventy-six
Seventy-six subtracted from the sum of a number and three
The correct answer is not given among the other responses.
The sum of a number and three subtracted from seventy-six
Therefore,
Example Question #46 : How To Find The Solution To An Equation
You must first use the distributive property to solve this problem.
Find the value of the variable
First distribute the 3 over to the terms inside the parantheses. You should get the following value
Second subtract 12 on both sides of the equation,
Then isolate the variable "a" by dividing both sides by 3,
You can check your answer by inserting 4 into the original equation and solve the equation.
Example Question #46 : Equations
A mother takes her three children to the doctor for their yearly checkup. During the checkup, the nurse asks to see the children in order of increasing age. Based on the following information, which child will the nurse see first?
- Zach and Paul have combined ages of 15.
- Paul and Anna have combined ages of 16.
- Anna and Zach have combined ages of 17.
None of these answers
Zach
All three children are the same age.
Anna
Paul
Paul
Based on the information provided in the question, the nurse will see the youngest child first. To determine which child is youngest, the ages of all children must be found. The three lines of information can be converted to equations using Z = Zach, P = Paul, and A = Anna.
Isolate Z in the first equation by subtracting P from both sides of the equal sign. Use the newly found relationship in equation 3 and simplify as necessary.
A or P can be isolated, similar to above, as both variables appear in equation 2. Plug the isolated equation in equation 2 and again simplify as necessary. For this explanation A has been solved for.
This means that Paul is 7 years old. Plug this information into the original equation.
So, Paul is 7 years old, Zach is 8 years old, and Anna is 9 years old; therefore, Paul will be seen by the nurse first.
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All SSAT Middle Level Math Resources
