Solving One-Step Inequalities Worksheet
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Why Did Farmer Jones Keep The Chickens Away From The Other Animals?
Solve any inequality below. CIRCLE the letter next to the correct answer. Write this letter in the box at the bottom of the page that contains the number of that exercise. Keep working and you will discover the answer to the title question. Two of the numbers will not be used.
1) $x + 5 > 9$
(N) $x > 4$
(R) $x < 4$
2) $3x \le 15$
(S) $x \ge 5$
(L) $x \le 5$
3) $u - 1 \ge -4$
(O) $u \ge -3$
(L) $u \le -3$
4) $6x < 12$
(V) $x > 2$
(U) $x < 2$
5) $6x < -12$
(B) $x > -2$
(C) $x < -2$
6) $-6x < 12$
(S) $x > -2$
(D) $x < -2$
7) $-6x < -12$
(E) $x > 2$
(W) $x < 2$
8) $z + 4 > -3$
(G) $z > -7$
(A) $z < -7$
9) $m - 12 \le 2$
(S) $m \ge 14$
(K) $m \le 14$
10) $-5x > 20$
(D) $x > -4$
(W) $x < -4$
11) $-5x > -20$
(T) $x > 4$
(F) $x < 4$
12) $x - 10 < -1$
(F) $x > 9$
(N) $x < 9$
13) $\frac{1}{2}n \ge 15$
(H) $n \ge 30$
(I) $n \le 30$
14) $\frac{1}{2}n \ge -15$
(E) $n \ge -30$
(M) $n \le -30$
15) $-\frac{1}{2}n \ge 15$
(R) $n \ge -30$
(U) $n \le -30$
16) $-\frac{1}{2}n > -15$
(I) $n > 30$
(U) $n < 30$
17) $x + 15 < 4$
(E) $x > -11$
(A) $x < -11$
18) $8x > -56$
(S) $x > -7$
(N) $x < -7$
19) $d - 7 \le -16$
(T) $d \ge -9$
(A) $d \le -9$
20) $\frac{2}{3}x > 8$
(I) $x > 12$
(T) $x < 12$
21) $-\frac{2}{3}x > 8$
(D) $x > -12$
(G) $x < -12$
22) $-2x \le -42$
(P) $x \ge 21$
(X) $x \le 21$
23) $t + 13 \ge 30$
(E) $t \ge 17$
(P) $t \le 17$
24) $4a \le -20$
(F) $a \ge -5$
(L) $a \le -5$
25) $-\frac{1}{8}k > -1$
(P) $k > 8$
(C) $k < 8$
This question includes visual content: A worksheet titled 'Why Did Farmer Jones Keep The Chickens Away From The Other Animals?'. The page contains 25 numbered boxes, each containing a simple algebraic inequality and two multiple-choice options (each with a letter). At the bottom of the page, there is a grid of numbered boxes corresponding to the exercise numbers, designed to fill in the letters of the correct answers to reveal a message.
Animated Video Solution
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Step by Step Written Solution
Let's solve problem number twenty-two from the worksheet to help answer the riddle: Why did Farmer Jones keep the chickens away from the other animals?
Exercise 22
Solving Linear Inequalities
Looking at exercise twenty-two, we have the inequality negative two x is less than or equal to negative forty-two.
To solve for x, we need to divide both sides by negative two.
Remember a key rule for inequalities: when you multiply or divide by a negative number, the inequality sign must flip.
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