Praxis Mathematics Exam 1

Question 1

If x= -5, then l x - 7 l =

Accepted Answer

12

Answer

To evaluate the expression |x - 7| when x = -5, substitute -5 for x. This gives |-5 - 7|. First, perform the subtraction inside the absolute value bars, which results in |-12|. The absolute value of a number is its distance from zero, always a non-negative value. Therefore, |-12| is 12.

Question 2

Solve and simplify: 2/3 x 3/5 x 5/10 x 6/8

Accepted Answer

0.15

Answer

To solve this multiplication of fractions, multiply the numerators together and the denominators together. It's often easier to cancel common factors before multiplying. The expression is (2/3) * (3/5) * (5/10) * (6/8). We can cancel the '3' from the first two fractions, and the '5' from the second and third fractions, leaving (2/1) * (1/1) * (1/10) * (6/8). This simplifies to (2 * 6) / (10 * 8) = 12/80. Reducing this fraction by dividing both numerator and denominator by 4 gives 3/20, which as a decimal is 0.15.

Question 3

If Dave drives at a steady speed of 50 miles per hour, how long will it take him to drive 10 miles?

Accepted Answer

12 minutes

Answer

To find the time it takes to drive a certain distance at a steady speed, use the formula time = distance / speed. Dave drives 10 miles at 50 miles per hour. So, time = 10 miles / 50 mph = 1/5 of an hour. To convert this to minutes, multiply by 60 (since there are 60 minutes in an hour): (1/5) * 60 minutes = 12 minutes.

Question 4

John will be x in 7 years. How old was he last year?

Accepted Answer

x - 8

Answer

Let John's current age be C. The problem states that John will be x years old in 7 years, so C + 7 = x. Solving for C, John's current age is x - 7. To find his age last year, subtract 1 from his current age: (x - 7) - 1. Therefore, John was x - 8 years old last year.

Question 5

Find the slope: 4x - 5y =20

Accepted Answer

4/5

Answer

To find the slope of a linear equation, rewrite it in the slope-intercept form, y = mx + b, where 'm' is the slope. Starting with 4x - 5y = 20, first isolate the y term by subtracting 4x from both sides: -5y = -4x + 20. Then, divide the entire equation by -5: y = (-4x / -5) + (20 / -5). This simplifies to y = (4/5)x - 4. From this form, the slope 'm' is clearly 4/5.

PRAXIS Practice Test

PRAXIS Practice Test

Praxis Mathematics Exam 1