Sections 2-1 and 2-3
Translate: The sum of q and four times t is equal to 29.
15-3r=6
Solve the equation. Check your solution.
9x - 4 = 2x +3
1
Evaluate |3-h| + 13 if h=5.
15
Use cross products to determine whether each pair of ratios forms a proportion.
2/3.5 , 8/14
28 = 28
The cross products are equal, so the ratios form a proportion.
u = vw + z, for v.
v = (u - z)/w
Translate: Twenty-seven times k is h squared decreased by 9.
27k = h2 - 9
Solve each equation. Check your solution.
14v + 6 = 2(5+7v) = 4
No solution
Evaluate |2x - z| +6b if x=2.1, z=-4.2 and b=-3.
-9.6
0.3/1.5 , 0.5/2.0
0.6 does not equal 0.75
The cross products are not equal, so the ratios form a proportion.
Solve the equation or formula for the variable indicated.
(k+m)/(-7) = n, for k
k = -7n - m
Translate: Seven times a number squared is five times the difference of k and m.
7x2 = 5(k - m)
Solve each equation. Check your solution.
-5(3-q) + 4 = 5q - 11
All numbers
Solve each equation. Then graph the solution.
|3z - 3| = 9
{4,-2}
Solve the proportion.
(x-2)/14 = 2/7
x=6
Solve each equation or formula for the variable indicated.
10c - f = -13 + cd, for c
c = (-13 + f)/(10-d)
Find three consecutive odd integers with the sum of 141. Make sure to list the odd integers you find.
n=45, 47, 49
A square has side lengths 4x-3 and an equilateral triangle has side lengths 5x-3. Find the value of x so that the figures have the same perimeter.
x=3
Solve each equation. Then graph the solution set.
|5h + 2|=-8
No solution. Distance is NEVER negative.
Solve the proportion.
10/15 = 4/(x-5)
x = 11
The formula d = rt represents the distance d that an object moving at speed r travels in time t.
a. Solve the equation for r.
b. What is the average speed of a car that travels 240 miles in 5 hours?
a. r = d/t
b. 48 mph
Find four consecutive integers with the sum of -142.
n= -37, -36, -35, -34
The first rectangle has a length of 2x - 1 and a width of 8. The second rectangle has a length of x and a width of 9. Find the value of x so the rectangles have the same perimeter.
x=2
Miss. Kriewald will draw a graph. Write an equation involving absolute values for each graph.
|x+3|=6
Solve each proportion.
(9b - 3)/9 = (5b + 5)/3
b = -3
The largest yo-yo in the world is 37.8 feet in circumference. The formula for the circumference of a circle is C=2(pi)r, where C represents circumference and r represents radius.
a. Solve the formula for r.
b. Find the radius of the yo-yo?
a. r = C/2(pi)
b. 6.02 feet