All SSAT Middle Level Math Resources
Example Questions
Example Question #41 : Ssat Middle Level Quantitative (Math)
Solve for :
Add 2 to both sides of the inequality:
Divide both sides by 4:
Example Question #42 : Ssat Middle Level Quantitative (Math)
If , then what is the value of
To solve for the equation, , we add 7 to each side. By doing this, we can see that y is equal to 19.
Thus, in the equation , we plug in 19 for y.
Thus, 15 is he correct answer.
Example Question #42 : Ssat Middle Level Quantitative (Math)
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 years old now. Marcia is four times as old, or years old.
Let be the number of years in which Marcia's age will be three times Janice's age. Janice will be years old, and Marcia will be years old. Since Marcia will be three times as old as Janice, we can set up and solve the equation:
Example Question #43 : Ssat Middle Level Quantitative (Math)
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 be the number, "one-fourth of a number" can be written as
.
"Twenty added to one-fourth of a number" can be written as
.
Set this equal to fifty-six and solve for :
Example Question #1 : 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 correct answer is not given among the other responses.
Ninety-nine decreased by the product of seven and a number
The difference of seven and a number multiplied by ninety-nine
The product of seven and a number decreased by ninety-nine
The difference of a number and seven multiplied by ninety-nine
Ninety-nine decreased by the product of seven and a number
is ninety-nine decreased by .
is the product of seven and a number.
Therefore, the is "ninety-nine decreased by the product of seven and a number".
Example Question #45 : Algebra
Fifty-four subtracted from one-sixth of a number is equal to twelve. What is the number?
If we let be the unknown number, "one-sixth of a number" can be written as
.
"Fifty-four subtracted from one-sixth of a number" can be written as
.
Set this equal to twelve, and solve for :
Example Question #2 : 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 ?
Nine mutiplied by the difference of eighty-six and a number
Nine mutiplied by the difference of a number and eighty-six
Eighty-six subtracted from the product of nine and a number
The product of nine and a number subtracted from eighty-six
The correct answer is not given among the other responses.
Nine mutiplied by the difference of eighty-six and a number
is nine multiplied by the expression .
is the difference of eighty-six and a number.
Subsequently, is "nine multiplied by the difference of eighty-six and a number".
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 difference of a number and three added to seventy-six
Seventy-six subtracted from the sum of a number and three
The sum of a number and three subtracted from seventy-six
The correct answer is not given among the other responses.
The difference of three and a number added to seventy-six
The sum of a number and three subtracted from seventy-six
is subtracted from seventy-six.
is the sum of a number () and three.
Therefore,
is "the sum of a number and three subtracted from seventy-six".
Example Question #47 : Equations
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 #48 : 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
Anna
All three children are the same age.
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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