Real Numbers
What is the value of x in this equation:
5x - 2(2x -1) = 6
4
What is the equation in standard form of the line that has x-intercept of -5 and y-intercept 7?
7x - 5y = -35
Find the x-intercept and the y-intercept of the graph of 12x -4y = 48.
x-intercept: 4
y-intercept: -12
Which elements of set Z are both odd and multiples of 5?
A = {-15, -10, -5, 0, 5, 10, 15}
{-15, -5, 5, 15}
Solve the absolute value equation.
8 = |5 - x|
x = -3, 13
Den has $50 to spend on video games. Used video games cost $8 each, and new video games cost $15 each. Write an equation in standard form to represent the situation.
8x + 15y = 50
Determine whether the lines are perpendicular, parallel, or neither.
2x + 4y =32
y = -1/2x + 16
parallel
Order the numbers from least to greatest.
25/7, 3.6, sqrt(12), sqrt(49/4)
sqrt(12), sqrt(49/4), 25/7, 3.6
Solve the inequality
5 (x + 1) - 10 > 2x + 3(x + 2)
no solution
Renz must practice the piano for 150 min each week. He practices 45 min each day. Write a linear equation in slope-intercept form to represent the number of minutes Renz still has to practice after x days.
y = 150x - 45
What is an equation in point-slope form of the line that passes through (-2, -4) and has a slope of 3?
y + 4 = 3(x + 2)
Which of the following will result in a rational number?
a) 6 4/5 + sqrt(9)/4
b) 6 4/5 + sqrt(5)/7
a) 6 4/5 + sqrt(9)/4
The sum of three consecutive odd numbers is 51. What are the three numbers?
15, 17, 19
For which values of A, B, and C will Ax + By = C be a horizontal line through the point (-4,2)?
A=0, B=1, C=2
What is the y-intercept of the line y - 14 = 6(x - 2.5)?
-1
Cynthia arranges x roses at $3.50 each with 10 sunflowers at $2.25 each. She makes a bouquet of flowers that averages $3 per flower. Write an equation to model the situation.
3.50x + 2.25(10) = 3(x + 10)
What is the equation of the line that passes through (-5,0) and (4,3)?
y = 1/3x + 5/3