Alg1 Literal Equations 24-25

Answer explanation

To solve for b in the equation 5a - 2b = 15, rearrange it to isolate b: 2b = 5a - 15, then divide by 2 to get b = (5a - 15)/2. The correct answer is b = (5a - 15)/2.

Tags

CCSS.HSA.CED.A.4

Answer explanation

To solve for l in the equation P = 2l + 2w, first subtract 2w from both sides: P - 2w = 2l. Then, divide by 2 to isolate l: l = (P - 2w) / 2. Thus, the correct answer is l = \frac{P-2w}{2}.

Tags

CCSS.HSA.CED.A.4

Answer explanation

To solve for b in the equation A = \frac{1}{2}bh, multiply both sides by 2 to get 2A = bh. Then, divide both sides by h to isolate b, resulting in b = \frac{2A}{h}, which is the correct choice.

Tags

CCSS.HSA.CED.A.4

Answer explanation

To solve for r in the equation C = 2πr, divide both sides by 2π. This gives r = C/(2π), which matches the correct answer choice.

Tags

CCSS.HSA.CED.A.4

Answer explanation

To solve for C, start with F = \frac{9}{5}C + 32. Subtract 32 from both sides: F - 32 = \frac{9}{5}C. Then, multiply both sides by \frac{5}{9} to isolate C: C = \frac{5}{9}(F - 32). Thus, the correct answer is C = \frac{5}{9}(F - 32).

Tags

CCSS.HSA.CED.A.4

Answer explanation

To solve for t in the equation d = rt, divide both sides by r. This gives t = d/r, which is the correct choice. The other options do not correctly isolate t.

Tags

CCSS.HSA.CED.A.4

Answer explanation

To solve for x in the equation y = mx + b, isolate x by subtracting b from both sides: y - b = mx. Then, divide by m to get x = (y - b)/m, which matches the correct choice.

Tags

CCSS.HSA.CED.A.4

Answer explanation

To solve for h in the equation V = lwh, divide both sides by lw. This gives h = V/(lw), which matches the correct answer choice.

Tags

CCSS.HSA.CED.A.4

Answer explanation

To solve for c in E = mc^2, divide both sides by m, giving c^2 = E/m. Taking the square root of both sides results in c = sqrt(E/m), which matches the correct choice.

Tags

CCSS.HSA.CED.A.4

Answer explanation

To solve for n in the equation S = \frac{n}{2}(a + l), multiply both sides by 2 to get 2S = n(a + l). Then, divide both sides by (a + l) to isolate n, resulting in n = \frac{2S}{a + l}, which is the correct answer.

Tags

CCSS.HSA.CED.A.4