Mod 1
Simplify the expression:
-3x + 12 - 2x + 5y + 10 - 2y + 7x
2x + 3y + 22
Solve for x:
9x - 7 = -7
x = 0
Translate the following phrase into a mathematical expression:
"8 less than the product of negative 10 and a number"
-10x - 8
State the DOMAIN of the relation:
(9,0), (-2,5), (0,9), (-2,3), (8,7), (-1,-4)
Is the relation a function?
D: {-2, -1, 0, 8, 9}
Not a function
Graph the following equation on your recording sheet:
y = -2x - 3
State the slope and the y-intercept.
m = -2
b = -3
Write the system of equations for the graphs on your recording sheet.
y = -3x + 4
y = 3x - 2
Evaluate -18x + 4y - 2 ; when x = -2 and y = 4
50
Solve for "a" on your recording sheet.
a = 23
Solve:
42% of what number is 112?
*round to the nearest hundreth*
266.67
State the domain and range of the graph on your recording sheet.
R: {-16, -8, 4, 8, 12, 16}
Graph the following equation on your recording sheet:
x = 3
State the slope and the y intercept.
m = undefined
b = undefined (or none)
Solve the system of equations by graphing.
4x + y = 2
x - y = 3
(1, -2)
Solve the expression on your recording sheet.
-7
What is the inequality of the graph shown on the number line?
x < 2
Mr. Smith has a base salary of $36,000 with a sales commission of 6%. His sales for one year were $400,000. Find his total pay.
$60,000
State the domain and range of the graph on your recording sheet.
State whether the relation is a function or not.
D: x >or= 0
R: all real numbers
NOT a function
Graph the following equation on your recording sheet:
5x - 2y = 10
State either the x & y intercepts OR
the slope and y intercept.
x-intercept: (2, 0)
y-intercept: (0, -5)
OR
m = 5/2
b = -5
Solve the system using substitution:
4x + 2y = 10
x - y = 13
(6, -7)
Evaluate -2x - 5y + 10z - 2x - 23 + 2 ;
when x = -4 y = 2 and z = -2
-35
Solve for "m" for the problem on your recording sheet.
m = k/(n + y)
Emily was watching a group of horses before a horse race and spotted 18 horses drink water over the course of 30 minutes. At this rate, how many horses will drink water in 120 minutes?
72 horses
Explain what Ms. Smith did in the qualitative graph on your recording sheet. Use a 2-3 sentences.
Ms. Smith left her house to drive to the store. Halfway to the store, she realized she forgot her wallet at home. She turned around, drove back home, grabbed her wallet, then proceeded to the store.
y > 5x + 2
Is (-6, 7) a solution to the above inequality?
Yes
Solve using elimination:
6x - 12y = 24
-x - 6y = 4
(2, -1)
-1/15
Solve the compound inequality on your recording sheet.
Then graph.
a <or= -13
OR
a>or= 0
A cannon ball is traveling 200 miles per hour. How fast is the cannon ball traveling in feet per minute.
*1 mile = 5,280 feet
17,600 feet per minute
State the domain and range of the graph on your recording sheet.
D: x > -9
R: -9 < y <or= 3
Write a linear equation that has a slope of -3 and goes through the point (1, 2)
y = -3x +5
Graph the system of linear inequalities on your recording sheet.
4x - 6y > 30
3x + 2y < -10
Is (0, -5) a solution?
No