# Hotmath Practice Problems

Title:
Hotmath Algebra 1
Author:
Hotmath Team

Problem: 1

Rewrite the equation 4w2w = 6 in the standard form ax2 + bx + c = 0.

Problem: 3

Compare 16x2 + 8x +1 = 0 with the standard form ax2 + bx + c = 0 and give the values of a, b and c.

Problem: 5

Compare (x + 5)2 = 0 with the standard form ax2 + bx + c = 0 and give the values of a, b and c.

Problem: 7

Write the equation 4p2 – 13p = –15 + 3p in standard form ax2 + bx + c = 0.

Problem: 9

x2 – 6x = 16

Problem: 11

x2 = 4x – 4

Problem: 13

2y2 – 3y – 2 = 0

Problem: 15

4x2 + 16x = 9

Problem: 17

Solve the given equation using the quadratic formula.

x2 – 16 = 0

Problem: 19

Solve the given equation using the quadratic formula.

x2 – 8x + 16 = 0

Problem: 21

Solve the given equation using the quadratic formula.

y2 – 12y + 33 = 0

Problem: 23

Solve the given equation using the quadratic formula.

x2 + 6x + 5 = 6

Problem: 25

Solve the given equation using the quadratic formula.

3x2 + 10x + 5 = 0

Problem: 27

Find the solution for the given equation by using the quadratic formula. Find the approximate answer for the irrational roots to the nearest hundredth.

a2 + 8a + 10 = 0

Problem: 29

Find the solution for the given equation by using the quadratic formula. Find the approximate answer for the irrational roots to the nearest hundredth.

6y2y – 5 = 0

Problem: 31

Find the solution for the given equation by using the quadratic formula. Find the approximate answer for the irrational roots to the nearest hundredth.

4b2 – 8b – 21 = 0

Problem: 33

Find the solution for the given equation by using the quadratic formula. Find the approximate answer for the irrational roots to the nearest hundredth.

3r2 + r – 15 = 0

Problem: 35

Find the solution for the given equation by using the quadratic formula. Find the approximate answer for the irrational roots to the nearest hundredth.

3x2 – 30x + 75 = 0

Problem: 37

Find the solution for the given equation by using the quadratic formula. Find the approximate answer for the irrational roots to the nearest hundredth.

2x2 – 30x + 150 = 0

Problem: 39

Find the solution for the given equation by using the quadratic formula. Find the approximate answer for the irrational roots to the nearest hundredth.

5r2 – 14 = –16r

Problem: 41

Solve 16x2 + 130x + 16 = 0 by applying the quadratic formula.

Problem: 43

Solve 6n2 + 5n = 25 by applying the quadratic formula.

Problem: 45

Solve 5x2 – 3x + 7 = 0 by applying the quadratic formula.

Problem: 47a

You're playing ball on the moon. You throw the ball upward with a velocity of 8 meters per second. Then the height of the ball y after t seconds is given by

y = –0.8t2 + 8t.

At what times will it reach a height of 10m?

Problem: 47b

Graph y = –0.8t2 + 8t. Use a domain of 0 t 7.5.