ATI TEAS 7 MATH EXAM QUESTIONS AND
SOLUTION (100 QUESTIONS)
1. Simplify the following expression:
2x + 4y - 3x - 2y
Solution:
2x - 3x + 4y - 2y = -x + 2y
2. If a recipe calls for 2 1/2 cups of flour, and you want to make 1/2 of the recipe, how much
flour do you need?
Solution:
To make 1/2 of the recipe, you need half the amount of flour, which is:
(1/2) x 2 1/2 cups = 1 1/4 cups
3. Solve for x:
2(x + 5) = 12
Solution:
First, distribute the 2:
2x + 10 = 12
Then, subtract 10 from both sides:
2x = 2
Finally, divide both sides by 2:
x=1
4. If a pizza has a diameter of 12 inches, what is the circumference of the pizza?
Solution:
The formula for the circumference of a circle is:
C = πd
where C is the circumference, d is the diameter, and π is approximately 3.14.
So, for a pizza with a diameter of 12 inches, the circumference is:
C = πd = 3.14 x 12 = 37.68 inches
5. Find the slope of the line passing through the points (-3, 4) and (1, -2).
, Solution:
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1) / (x2 - x1)
So, for the given points:
slope = (-2 - 4) / (1 - (-3)) = -6/4 = -3/2
6. Simplify the following expression:
3x + 2y + 4x - 3y
Solution:
Combine like terms:
3x + 4x + 2y - 3y = 7x - y
7. Find the value of x in the following equation:
4(x - 3) = 12
Solution:
Divide both sides by 4:
x-3=3
Add 3 to both sides:
x=6
8. Solve for x in the following equation:
5x + 7 = 32
Solution:
Subtract 7 from both sides:
5x = 25
Divide both sides by 5:
x=5
9. What is the area of a rectangle with a length of 6 meters and a width of 3 meters?
Solution:
The formula for the area of a rectangle is:
A = lw
Substituting l = 6 and w = 3:
A = 6 x 3 = 18 square meters
10. What is the perimeter of a square with a side length of 4 feet?
, Solution:
The formula for the perimeter of a square is:
P = 4s
Substituting s = 4:
P = 4 x 4 = 16 feet
11. If the ratio of boys to girls in a class is 3:5 and there are 24 girls, how many boys are in the
class?
Solution:
Let the number of boys in the class be x.
The ratio of boys to girls is 3:5, so:
x/24 = 3/5
Cross-multiply:
5x = 72
Divide both sides by 5:
x = 14.4
Since there can't be a fraction of a person, round up to the nearest whole number:
x = 15
12. What is the slope-intercept form of the equation of a line that passes through the point (2, 5)
with a slope of 3?
Solution:
The slope-intercept form of the equation of a line is:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting m = 3 and the point (2, 5):
5 = 3(2) + b
Simplifying:
5=6+b
Subtract 6 from both sides:
-1 = b
So the equation is:
y = 3x - 1
SOLUTION (100 QUESTIONS)
1. Simplify the following expression:
2x + 4y - 3x - 2y
Solution:
2x - 3x + 4y - 2y = -x + 2y
2. If a recipe calls for 2 1/2 cups of flour, and you want to make 1/2 of the recipe, how much
flour do you need?
Solution:
To make 1/2 of the recipe, you need half the amount of flour, which is:
(1/2) x 2 1/2 cups = 1 1/4 cups
3. Solve for x:
2(x + 5) = 12
Solution:
First, distribute the 2:
2x + 10 = 12
Then, subtract 10 from both sides:
2x = 2
Finally, divide both sides by 2:
x=1
4. If a pizza has a diameter of 12 inches, what is the circumference of the pizza?
Solution:
The formula for the circumference of a circle is:
C = πd
where C is the circumference, d is the diameter, and π is approximately 3.14.
So, for a pizza with a diameter of 12 inches, the circumference is:
C = πd = 3.14 x 12 = 37.68 inches
5. Find the slope of the line passing through the points (-3, 4) and (1, -2).
, Solution:
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1) / (x2 - x1)
So, for the given points:
slope = (-2 - 4) / (1 - (-3)) = -6/4 = -3/2
6. Simplify the following expression:
3x + 2y + 4x - 3y
Solution:
Combine like terms:
3x + 4x + 2y - 3y = 7x - y
7. Find the value of x in the following equation:
4(x - 3) = 12
Solution:
Divide both sides by 4:
x-3=3
Add 3 to both sides:
x=6
8. Solve for x in the following equation:
5x + 7 = 32
Solution:
Subtract 7 from both sides:
5x = 25
Divide both sides by 5:
x=5
9. What is the area of a rectangle with a length of 6 meters and a width of 3 meters?
Solution:
The formula for the area of a rectangle is:
A = lw
Substituting l = 6 and w = 3:
A = 6 x 3 = 18 square meters
10. What is the perimeter of a square with a side length of 4 feet?
, Solution:
The formula for the perimeter of a square is:
P = 4s
Substituting s = 4:
P = 4 x 4 = 16 feet
11. If the ratio of boys to girls in a class is 3:5 and there are 24 girls, how many boys are in the
class?
Solution:
Let the number of boys in the class be x.
The ratio of boys to girls is 3:5, so:
x/24 = 3/5
Cross-multiply:
5x = 72
Divide both sides by 5:
x = 14.4
Since there can't be a fraction of a person, round up to the nearest whole number:
x = 15
12. What is the slope-intercept form of the equation of a line that passes through the point (2, 5)
with a slope of 3?
Solution:
The slope-intercept form of the equation of a line is:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting m = 3 and the point (2, 5):
5 = 3(2) + b
Simplifying:
5=6+b
Subtract 6 from both sides:
-1 = b
So the equation is:
y = 3x - 1
