Systems Of Equations
State whether the system of equations is consistent or inconsistent.
2x - y = -3
4x - 2y =2
What is inconsistent?
Write a numerical expression for the verbal expression: Seven less than fifty.
What is 50-7?
Solve the inequality a + 7 > 10
What is a > 3
Find the sum:
(5x – 9y) + (x + 6y)
What is 6x – 3y?
Simplify:
(2a5)(–7a2)
What is –14a7
Determine the number of solutions the system has, then state whether the system of equations is consistent or inconsistent and if it is independent or dependent.
6x + 2y = 14
y = -3x + 7
What is infinite; consistent; dependent?
Evaluate the expression:
6(32/4-3)
What is 30?
Tara and her friends are going to the movies for her birthday. The price per movie ticket is $9.25. She also has $20 to spend at the concession stand. She does not want to spend more than $115 total.
Write an inequality to represent this situation, where m is the number of movie tickets purchased.
What is 20 + 9.25m ≤ 115
Find the difference:
(a2 + 2a – 5) – (–3a2 + a – 2)
What is 4a2 + a – 3?
The number of three-letter combinations that can be formed with the Russian alphabet is 333. The number of six-letter combinations that can be formed is 336. How many times more six-letter combinations can be formed than three-letter combinations?
What is 333 = 35,937?
Solve the system of equation:
m - n = 11
m + n = 3
What is m=7 and n=-4?
What property is happening between the step of solving the equation:
1. 4 + 8(6-2 x 3)
2. 4 + 8(0)
What is substitution?
An outdoor thermometer claims to be accurate within 2 degrees Fahrenheit. One day, the thermometer reads 72°F.
Write an absolute value inequality that represents the possible actual temperature t.
What is |t – 72| ≤ 2?
Simplify:
y(3y2 + 7y – 10)
What is 3y3 + 7y2 – 10y?
Write it in radical form:
301/2
What is √30?
Olivia and her brother William had a
bicycle race. Olivia rode at a speed of 20 feet per
second while William rode at a speed of 15 feet per
second. To be fair, Olivia decided to give William a
150-foot head start. The race ended in a tie. How far
away was the finish line from where Olivia started?
What is 600 ft?
Evaluate the expression if x=8, z=-4
|6 - z| -2x
What is -6?
Two times a number plus one is greater than 5 and less than 7.
Factor:
b2 – b – 72
What is (b + 8)(b – 9)?
Simplify:
3V8000
What is 20?
Solve this system of equations. Leave your answer in decimal form.
2.5x + 3.2y = 12.5
1.8x - 4.1y = -5.6
What is x = 2.08 and y = 2.28.
Stadiometers are devices designed to accurately measure height. The accuracy of a stadiometer is the positive difference between a person's height according to a stadiometer m and a person's actual height h. Write two absolute value expressions equivalent to the accuracy of a stadiometer.
What is |m - h| and |h - m|?
The meteorologist predicted that the temperature would be between 3* of 52*.
Express each statement using an inequality involving absolute value then solve it.
What is |x-52|≤3?
Miko wants to build a crate to hold record albums. The expression 2x2 – 6x – 80 represents the volume of the crate. Factor the expression.
What is 2(x+5)(x-8)?
Solve:
45x + 4 = 16,384
What is 3/5?