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ACT Linear equations Practice Questions
Linear equations questions show up frequently in the Math section of the ACT. Below are practice questions taken from our bank to help you prepare.
Starter questions
A small business employs two types of workers: full-time and part-time. The number of full-time workers is 10 more than twice the number of part-time workers. If the total number of workers is 85, how many part-time workers does the business employ?
A mobile plan charges a base fee plus a rate per gigabyte of data used. The total cost for 3 GB of data is $35, and for 5 GB of data is $55. What is the base fee of the plan?
More questions
A delivery truck can carry a maximum of 2,400 pounds. The company ships two types of packages: small packages that weigh 20 pounds each and large packages that weigh 60 pounds each. The truck must carry at least 3 small packages for every large package. What is the maximum number of large packages the truck can carry while respecting both the weight limit and the package ratio constraint?
A delivery truck can carry a maximum of 2,400 pounds. The company ships two types of packages: small packages that weigh 20 pounds each and large packages that weigh 60 pounds each. The truck must carry at least 3 small packages for every large package. What is the maximum number of large packages the truck can carry while respecting both the weight limit and the package ratio constraint?
A delivery truck can carry a maximum of 2,400 pounds. The company ships two types of packages: small packages that weigh 20 pounds each and large packages that weigh 60 pounds each. The truck must carry at least 3 small packages for every large package. What is the maximum number of large packages the truck can carry while respecting both the weight limit and the package ratio constraint?
A delivery truck can carry a maximum of 2,400 pounds. The company ships two types of packages: small packages that weigh 20 pounds each and large packages that weigh 60 pounds each. The truck must carry at least 3 small packages for every large package. What is the maximum number of large packages the truck can carry while respecting both the weight limit and the package ratio constraint?
Hard questions
A city allocates its annual budget among public safety, infrastructure, and parks in the ratio 5:3:2. If the infrastructure budget is increased by $6 million while keeping the other allocations unchanged, the new ratio becomes 5:4:2. What was the original public safety budget, in millions of dollars?
A restaurant manager is determining the number of tables to set up for an event. The manager estimates that if they set up x tables, each table will serve 1/2 of a dish per hour. However, if they increase the number of tables by 3, each table will serve 1/3 of a dish per hour. The total number of dishes served per hour remains the same in both scenarios. What is the value of x?
A telecom plan allows a maximum of 15 peak minutes and 10 off-peak minutes per day. On Monday, Sarah used 3 more peak minutes than off-peak minutes. If she stayed within her plan limits, what is the maximum number of peak minutes Sarah could have used on Monday?
A telecom plan allows a maximum of 15 peak minutes and 10 off-peak minutes per day. On Monday, Sarah used 3 more peak minutes than off-peak minutes. If she stayed within her plan limits, what is the maximum number of peak minutes Sarah could have used on Monday?
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