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ISEE Upper Level Quantitative Reasoning › Equations
Which of the following makes the equation true:
Explanation
To find the answer, we will solve for x. So, we get
Solve the equation for 
Explanation
First, simplify the equation as much as possible:
Now we can take the 
Solve the equation for
Explanation
First, simplify the equation as much as possible:
Now we can take the
Which of the following makes the equation true:
Explanation
To find the answer, we will solve for x. So, we get
A class has 25 students. If 60% of them are boys, how many students are girls?
10
15
20
9
8
Explanation
We know that 40% of the class are girls because 60% are boys. To express 40% as a fraction of the 25 total students, we set up a proportion to find the number of girls in the class.
When solving for 
A class has 25 students. If 60% of them are boys, how many students are girls?
10
15
20
9
8
Explanation
We know that 40% of the class are girls because 60% are boys. To express 40% as a fraction of the 25 total students, we set up a proportion to find the number of girls in the class.
When solving for
Adam has 3 siblings. When his mother bakes a cake, each of the 4 children is given ¼ of the cake. Adam only finished 1/3 of his share of cake. If the original cake had 12 slices, how many slices did Adam eat?
1
2
3
4
6
Explanation
Each of the children gets 1/4 of the cake. Taking 1/4 of 12 shows that each child gets 3 slices. If Adam finishes 1/3 of his share, then he has eaten one out of the 3 slices.
A small bakery sells two flavors of muffins: chocolate and banana.
At the end of the day, there are 13 muffins left.
There are 
If
how many banana muffins are left?
Explanation
The first step is to solve for x.
If there are 1x chocolate muffins and 2y banana muffins, for a total of 13 muffins then:
Since the number of banana muffins remaining is 2y, there are 12 banana muffins left.
A small bakery sells two flavors of muffins: chocolate and banana.
At the end of the day, there are 13 muffins left.
There are
If
how many banana muffins are left?
Explanation
The first step is to solve for x.
If there are 1x chocolate muffins and 2y banana muffins, for a total of 13 muffins then:
Since the number of banana muffins remaining is 2y, there are 12 banana muffins left.
Adam has 3 siblings. When his mother bakes a cake, each of the 4 children is given ¼ of the cake. Adam only finished 1/3 of his share of cake. If the original cake had 12 slices, how many slices did Adam eat?
1
2
3
4
6
Explanation
Each of the children gets 1/4 of the cake. Taking 1/4 of 12 shows that each child gets 3 slices. If Adam finishes 1/3 of his share, then he has eaten one out of the 3 slices.