Find the sets of problems that have the same sum: F(h3−2h)+(3h2+4h) and (3h3+2h−7h2)+(10h2−2h3), G(7t2−2t−5)+(−7t2+8−2t) and (3t+5)+(−7t−2), H(8m−3m2+8)+(5m2−9−10m) and (3m−7)+(2m2−8m+6), (12+6p)+(−p+p2−4) and (p2−4p+8)+(9p−2p2).
Find the maximum number of solutions to a system of linear and quadratic equations. Linear equation: y=mx+bQuadratic equation: y=ax2+bx+c
Options: 0, 1, 2, 4
Find all integers x such that −∣x∣ is negative. The solution is a discrete value or values, not a range of solutions. The solution value(s) of x is/are −7,7.
Find the equation of the line representing the relationship between number of CDs and total cost. Use the equation to determine the cost of 10 CDs. Simplified problem statement: Find the equation of the line representing number of CDs vs. total cost. Use the equation to find the cost of 10 CDs.
Find equivalent equations to 32−x+61=6x by recognizing properties, not solving. Check all that apply: 4−6x+1=36x, 65−x=6x, 4−x+1=6x, 65+x=6x, 5=30x, 5=42x.
Solve the equation x+5=11. If we multiply both sides by 4, the new equation is 4x+20=44. Solve this new equation. What if we multiply both sides by 100 or 0.5? Does the solution remain the same?
Solve the quadratic equation −48g+64g2=−9 for g. Express the solution(s) as an integer, proper fraction, or improper fraction in simplest form, separated by commas.
10. Transform f(x)=−21log10(−2x+4)+3 to g(x)=−2log10(x+1) by shifting, scaling, and reflecting. 11. If 2log4(loga3)=1, find the value of a. 12. Solve 3(5x2+3x)=10012 for x. 13. For y=logx, where 0<x<1000, how many integer values of y are possible if y>−20?
Fill the blanks with the correct words to make the sentences.
The equation 3x+7=14+3x has one solution.
The equation 22x+11=4x−7 has one solution.
The equation 3(x+2)=3x+6 has one solution.
Scientist has two salt solutions, A (45% salt) and B (95% salt). She wants to obtain 170 oz of 80% salt mixture. How many oz of each solution should she use? Solution A: __ oz
Solution B: __ oz