Algebra Quiz

Write an algebraic expression for the following statement: Five times z is subtracted from one-third of the product of x and y.

1. 5xy - z/3
2. xy/3 - 5z
3. z/3 - xy
4. 5z - xy/3

Answer: (b) xy/3 - 5z

Determine the value of s in the given equation: 3(s - 0.6) - 2.2 = 5(0.4 - 3s)

1. 1/3
2. 1/2
3. 3
4. 1/18

Answer: (a) 1/3

Identify the equation that does not have -7 as the solution.

1. 3(5x + 1) = 2(x - 44)
2. 5x - 9 = -44
3. x/2 + 1 = -5/2
4. 2(3x - 5) = 3(4/3 - 2x)

Answer: (d) 2(3x - 5) = 3(4/3 - 2x)

David has a certain amount of money. He spends three-fifths of it on purchasing a bat, one-fourth of the money on purchasing two identical boxes, uses half of the remaining money to buy a shirt and is still left with $150. Find the amount spent on one box.

1. $150
2. $375
3. $250
4. $500

Answer: (c) $250

Find the difference between the coefficients of a² in the given expressions. I: 9a + 7b² - a²b II: 6a(-4a + 3b)

1. 23
2. -b - 24
3. 25
4. 24 - b

Answer: (d) 24 - b

The ratio of two numbers is 4 : 13. If their difference is nine more than twice the smaller number, then find the sum of the two numbers.

1. 9
2. 17
3. 153
4. 117

Answer: (c) 153

Sarah has (2w - 3wz + 7z) chocolates. She gives (w - 2z) chocolates to Justin, (wz - 3z - 6) chocolates to Maria and gets (10 - w + 3z) chocolates from Patrick. What is the difference of final number of chocolates and the initial number of chocolates with Sarah?

1. -wz - 2w + 8z + 16
2. -4wz - 8z + 16
3. -4wz + 15z + 16
4. -wz + 8z + 16

Answer: (a) -wz - 2w + 8z + 16

Rachel goes to the market and purchases 8 pens and 9 pencils for $655. If the cost of one pen is $3.5 more than thrice the price of a pen, what is the cost of two pens?

1. $38
2. $60.50
3. $98.50
4. $121

Answer: (d) $121

The sum of two positive integers is 37. Given that the difference of their squares is 407, determine the difference between them.

1. 11
2. 13
3. 25
4. 37

Answer: (a) 11

Lara divides $24,000 among her three sons, Karl, Mark and Peter. Mark gets $1,400 less than four-fifth of the money received by Karl and twice the amount received by Peter is $1,600 more than the amount received by Mark. Determine the amount received by Peter.

1. $3,500
2. $4,700
3. $7,800
4. $11,500

Answer: (b) $4,700